It happened that Mr. John Kemble the chief actor, and once the acting manager of Drury Lane theatre, had in the year 1802, a misunderstanding with the proprietors, in consequence of which he left it, and visited the continent, leaving the first line of character very inadequately filled. Intelligence of this secession having reached America in the latter end of 1802, Mr. Cooper, who was invited, as it is said, by the proprietors of Drury Lane, to take Mr. Kemble's place, if his reception by the town would warrant them in retaining him, crossed the Atlantic, and once more appeared in London. His success was by no means equal to the expectations of his New-York friends. Those however who were better acquainted with the general subject and the state of the stage in England, who were aware how much actors of the greatest talents profit by constantly playing with men of equal standing with themselves, and how much they lose by the want of great models either to emulate or follow, were far from being so sanguine in their expectations. By the London audience he was handsomely received, and greeted with the applause and kindness due to a stranger of respectable powers: but in efficient benefit to the house and to himself he failed; wherefore, passing on to Liverpool, he played a few nights in that town with great applause, then took shipping and returned to America, where he was received with open arms. After his departure the theatre of New-York fell into a state of decline for want of a proper manager and proper company. The deceased Hodgkinson having been joined in the management of the Charleston theatre, and brought along with him some of the best performers, it was resolved by the proprietors of the New-York theatre, to give it upon encouraging terms to a manager of sufficient qualifications to conduct the business of it successfully. Hodgkinson was elected to the management of it almost unanimously; but soon after died of the yellow fever. Mr. Cooper then undertook it--bought the theatre at a vast expense--improved and embellished the house, and was amply remunerated by the immense receipts of the first season; at the end of which he sold out his property in it to another gentleman, who we believe now owns and manages it.