Green’s Dictionary of Slang

Cheshire, the n.

[specific var. on cheese, the n.]

the best, the ideal.

[US]Spirit of the Times (N.Y.) 25 Sept. 360: Talking of cheese, your present conduct isn’t altogether ‘the Cheshire’ [HDAS].
[US]G.G. Foster N.Y. in Slices 90: Something between a telescope and a pair of goggles is just now ‘the Cheshire’.
[UK]J. Ware Passing Eng. of the Victorian Era.