A correspondence appeared in the Times of Tuesday, between Mr. Stapleton, the unsuccessful candidate for York, and Mr. Brougham, in which the former gentleman felt umbrage at the term "paltry insect." which it was reported Mr. Brougham had made use of in his speech on Thursday the 14th on the hustings at York, and which Mr. Stapleton considered as applied to him. Mr. Brougham in his reply, said he had not the least recollection of the expression he had used, and at all events he did not mean to apply it in the offensive manner Mr. Stapleton supposed he did. Mr. Stapleton returned thanks for the explanation, and for the honourable readiness with which it was conveyed to him.