The following letters have passed between Lord John Russell and

Mr. Buckingham, relative to the attack on Lord John in Mr. Buckingham's recent speech to his constituents at Sheffield.

" (No. 1.) Tunbridge wells. 3d September 1336. " Sir—I find in the Stanearct of yesterday a report of Fume parts of a speech said to have been delivered by you at Sheffield. In these extracts, filler comment lug upon my conduct, rifler observing that I had combined my influence and power with that of Sir John 1101,house to seal your ruin, y on arc made to observe—,1 hese were his solemn and reiterated professions, and you have seen how he has redeemed them. The distance between day and night—between truth and falsehood—between the highest degree of honour and the lowest degree of baseness—between fidelity and treachery—between courage and cowardice—between virtue and N ice—is not, mid cannot be greater, than between the words and actions of the irersunages who filled the chief characters in this melancholy and degrading drama.' " I wish to be informed whether you used these words, and whether you mean to apply the words falsehood. baseness, treachery, and cowardice to my actions as respects your claim upon the East India Company ? or to any part of my conduct with regard

to yourself? " Your humble servant, J. RUSSEL!. " J. S. Buckingham, Esq., M.P."

"(No. 2.) Guildford, 7th September 1836. "My Lord—As I have ever acted towards you with the fairness and openness becom- ing the nature of the intercourse that so long subsisted between us. I shall continue the same course to the end, whether observed by others or not ; and in this spirit I feel it my duty to forward you a copy of the address recently delivered by me to my constitu- ents at Sheffield.

" I wish it had been in my power, both for your sake and for my own, to have spoken differently of the late proceedings in the House of Commons on the subject of my claims. But truth demanded of me the exposition I have given. It was not necessary to say more, but I could not consent to say less ; and if it gives you pain, bo assured that I regret the cause of this pain as much as yourself.

I am, my Lord, your most obedient servant, (Signed) "J. S. BUCKINGHAM. "The Right Honourable Lord John Russell." " (No. 3.) white hart hotel, Guildford, 8th September 1836. " My Lord—Your letter of the 11 instant, dated from Tunbridge Wells, having been addressed to me at Sheffield, from thence redirected to London, and from thence fors. warded here, has only just reached me by this morning's post. " I have partly anticipated your Lordship's wishes, by having sent you yesterday from this place a letter, and an authentic copy of the speech made by me to my con- stituents on the 29th ult. The extract given in the Standard. to which your Lordship refers, will be found, I believe to correspond accurately with the printed version of the whole speech already in your hands. I do not wish to shrink, therefore, from the ful- lest responsibility fur whatever that speech may contain, as conveying my deliberate convictions, after the most mature judgment that I could give to the subjects of it. " In reply to your Lordship's second question, whether I invent • to apply the terms falsehood, baseness, treachery, and cowardice,' to your Lordship's actions, as respects my claim upon the East India Company, or to any part of your Lordship's conduct with regard to myself, I beg to state, that I did not apply these terms to either ; as a reference to the passage itself will show that I there asserted, what I now repeat, that the contrast between those qualities and their direct opposites, was not, and could not, be greater than between the words and actions of the parties named ; and having stated what those words and what those actions were, I left those to whom I addressed myself to judge for themselves whether the contrast was not, as I described it, as great as between any things the most opposite that could be named.

" The whole tenor of my address was, however, a comment on the public conduct or

public men, in the various public transactions of the session ; and whatever that ad- dress contained had reference to such public conduct alone. Your Lordship's public prot;:ssious and publicly-declared opinions ou the conduct of the East India Company towards me, and your publicly.declared conviction of the justice of my claims, was therefor., in this address, contrasted with your conduct as leader of the House of Com- lmons, when a mere repetition of the same sentiments from your place in Parliament would have obtained the support of the douse of Commons in their raVour, while yoir silence and your absence were fatal to my cause. If your Lordship is aide to justify this conduct in the eyes of the country, to whom my apisml is now made, I shall be happy to afferd every reedit y for such justification. by attending any meeting fur that purpose which your Lordship may appoint. "Of your personal honour and integrity in any private transaction. as between one gentleman and another. I have never entertained nor expresso! a doillt. any more than I have of the ps rsonal honour and integrity of the Governors .411;1 I tileeturs of the East India Company, by whom I Nye been plundered and rained ; for such is the conven- tional standard or mormity that these private and personal virtues are flagrantly

found to coexist with the entire absence of all public princip!» toddle men.

" lint oat public grounds, mid on public grounds alone, I most still take leave to repeat. that the contrast between the public conduct of your Lordship as a member of the Whig Opposition of 1824 and I:••gh, and the public conduct of your Lordship as a member of the lVhig Government and Leader of the Muse of Commons in 1816. on the subject of my claims on the East India Company Mr that compels:train which the Select Committee. of which your Lordship 1,:12 a member, unanimously declared to be justly due to me.—appears to me to he as great as between day alai night, or between any other two things the most opposite to each other that can be named.

" 1 am, my Lord, your must obedient set van!, tt .1. S. BUCKINGHAM.

" The Right Honourable Lord JohnMussel!, M.P. &c. &e. &c."

" (No. 4.) Tunbridge Wells, loth September 183G.

" Sir—I have received yesterday and today your letters of the 7th awl nth

• It is satisfactory to me to And that vote did not mean to cast any imputations tat my personal honour and integrity. "I can make allowance for the irritated feelings which the losses and disappoint • silents you have sustained may have excitol; but I must told, that ' truth.' which y say &Minded of you the exposition you have given, ought to have demanded of cut not to omit other facts, whielt would have materially altered the case yuu have so ela- borately etaleavottn•t1 to make out against me. " it is nut toy wish, however, to appeal to any public meeting on this subjeet ; nor do I now think it necessary to say more than that I shall Le t cady to (Irked my con- duct iu Parliament whenever It may be called in question. " I am, Sir, your humble servant,

" J. S. Buck ingli tin, Esq. M.P. J. it ussEbt.."

"PS. I shall think it right to publish this correspondenee."

Lord John Russell, Etipposirg that this letter would terminate the correspondence, sent it to the Morning Chronicle for publication - but Mr. Buckingham addressed another epistle to Lord .Tolin, which was received too late for the first packet, and was published subse- quently. Air. Buckingham declares, that having been in the habit of considering Lord John a true friend of liberty and justice, lie had at- tacked hint " more in sorrow than in anger ;" that lie WIIS not aware of having kept back a single fact which could excuse Lord John's thauge of opinion with respect to his chums ; that four public opportunities having been offered for mentioning those facts, they ought, if they ex- isted, to have been stated ; and that as to the challenge, he should have declined it if sent. In conclusion, Mr. Buckingham says— "I am sure it would embitter my future days if I could be tempted to imbrue sly hands in your blood ::aid I still think much better of ymt than to suppose lbr a moment that it would be °there ise than deeply painful to you to he the hostile shedder or mho' • and yet, if this were not to he risked OH both sides, our going oat to tight a duel, in order to determine whether your Lordship had or had not :viol Moms:shady - ailing at me time what you had deserted at another— would be an idle ceremony, only fit for ridicule. I wish your Lordship to live for many years, flit you mat have iii opportunity of retracing your steps and rot Outdo, your errors, iti nitwit more important questions than my individual wrong.), great as efeel theta to he ; and I td•sire e.ysell to live, in order that, if I cannot make my oppressors give hack the properly of which they base platult•red toy children as well as myself, 1 linty devote the remainder of any days to useful and honourable labour, for the purpose of leaving theta some other legacy besides an Injumeni yet an unstained name. For these reasots I shall not lightly trifle with that precious gilt which Gull alone can give, and which it is impious in man to attempt to destroy : and while I shall endeavour to keep nay hands pure fawn the blood of others, I w ill not willingly tempt any men--and more especially those who have already injured me—to add the guilt of murder to t he other wrongs for which they will yet, it) another and a jester world, have one day to answer awl to atone. As

am anxious that this should reach your Lordship without delay, that it may Led added to the correspondence yolk are about to publish. I close it thus 4.hrttptiy."

The present state of the annuity fund now raising by subscription for Mr. and Mrs. Buckingham is above 30001.