Her Arctic sides are a mixture of Philly and Miami productions. Listening to the track in question again I wonder if it's not from the first session (which yielded the first single Don't Make The Good Girls Go Bad) which is arranged by Clarence Reid but in Philadelphia as opposed to his usual Miami base.
Apparently Steve Alaimo was unwilling to record the song on Della for his group of labels, thinking it was too close to Betty Wright's recent "Girls Can't Do What The Boys Do", so Clarence Reid did the deal with Arctic and went to Philadelphia to record. Listening to Wait Until Dark again it is almost certainly the same drummer, so I take back my first post.