E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Bumper.
A full glass, generally connected with a toast. Dr. Arn says a bumper is when the surface of the wine bumps up in the middle. (French, bomber, to render convex, to bulge or swell out.)
1
A fancied connection with hump, a swelling, has not only influenced the form of the word, but [has] added the notion of fulness.Skeat: Etymological Dictionary.