Oklahoma ,perhaps 2 years later.

later on? (Two defensive players, two offensive players and two who were allowed to go on both sides).

My mom played on her HS team while growing up in the late 30's/early 40s -- drum roll - Pottsville, Pa. (where Muffet was born) and I could've sworn she told me she was chosen to play the "middie" because she could, indeed, run.
Unfortunately, she's not with us anymore so I can't pick up the phone.

In any case, thanks for passing along.