E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
He was done brown. Completely bamboozled or made a fool of. This is a variety of the many expressions of a similar meaning connected with cooking, such as I gave him a roasting, I cooked his goose, I cut him into mince-meat, I put him into a pretty stew, I settled his hash, He was dished up, He was well dressed [drubbed], He was served out, etc. (See COOKING.)