Green’s Dictionary of Slang

brownie v.

also be a brownie
[brown-nose v./brownie point n.]

to curry favour.

[US]Dundes & Schonhorn ‘Kansas University Sl.: A New Generation’ in AS XXXVIII:3 169: To curry favor with a professor: brownie.
[US]H. Rawson Dict. of Invective (1991) 61: The sycophant may also be said to brown [someone], to get nose with [someone], to be a brownie (also with allusion to a junior Girl Scout), or to receive brownie points.