I think Wayne Terwilliger did the "strategic" managing in 1969. Williams taught the hitters how to think about hitting and taught the pitchers how hitters thought. I got that from Stephen J. Walker, "A Whole New Ballgame", a beautiful book, based around a reunion of the team.
If memory serves, Twig was the third base coach (think Nellie Fox coached over at first), so ... Ted woulda been on his own making moves when the Senators were up (unless Twig was signaling Ted from the coaching box).
