I am a long time whistle player with over 20 period and modern whistles. A great option for a period wooden whistle is one of Ralph Sweets two-piece tunables. They are reasonably priced, perfectly correct, and sound great...very resposive with good tone. Two caveats: 1. Ralph signs and numbers his pieces, but it's fairly non-descript. 2. They are fragile, get a tinsmith to make you a nice tube to fit it...trust me.
Ralph sells them in Delrin (completely inaccurate but beutiful tone and no maintainace), Blackwood and Rosewood here:
Justin Runyon, Pumpkin Patch Mess: WIG GHTI
Organization of American Historians
Company of Military Historians
CWPT, Terre Haute Lodge 19 F&AM
Terre Haute Ch. 11, RAM