For Europe
Mackenzie, Alister
Colt, H.S.
Alison, C.H.
Old Tom Morris
Braid, James
Simpson, Tom
Ross, Donald
Park, Willie
Watson, Willie
Jones Sr., Robert Trent
Strong, Herbert
Thompson, Stanley
For the U.S.
Tillinghast, A.W.
Flynn, William
Thomas, George
Raynor, Seth
Maxwell, Perry
Bell, William P.
Wilson, Dick
Wilson, Hugh
Emmet, Devereux
Dye, Pete
Doak, Tom
Coore, Bill/Crenshaw, Ben
ROTW
Travis, Walter
Macdonald, C.B.
Russell, Alex
Limburger, Bernard von (I'm reaching now)
I don't know enough of other ROTW architects to make a pick.