Green’s Dictionary of Slang

butler’s grace n.

thanks, but no money.

J. Melton Sixefolde Politician 33: The respect which the wantonest and vainest heads have of them is as of fidlers, who are regarded but for a baudy song, at a merry meeting, and when they have done, are commonly sent away with butler’s grace [N].
[UK]R. Nares Gloss. (1888) I 123: butler’s grace. No thanks.