If it wasn't won, we'd still be using British money.
Well, no, probably not... Canada and Australia both have their own currency these days, among others.
That major a change (losing the war) that far back, though, would probably create so many changes as to make the other reality pretty unrecognizable. But if you only want to do minor changes, then other founding fathers are probably good.
If you really want to twist people's brains, put Jefferson Davis, Stonewall Jackson or Robert E. Lee on the $5
PJ