The question of whether Beverly Oliver is the Babushka Lady could answer the Malcom Couch movie.
Most versions of the couch movie are not good quality. However, there is a sharpened and very well edited screenshot by Robin Unger (maybe also from Jerry Organ, I'm not sure) from the couch movie where you can at least see the outline of the face.
Here on the left is the side face profile of the Babushka Lady and on the right Beverly Oliver from a scene in the movie Hot Blooded Woman from 1965:
In my opinion, this could be another indication that Beverly Oliver was not the Babushka Lady, as the facial features are not quite right.
I would also like to say that the screenshot of Robin Unger (or maybe Jerry Organ) is one of the best pictures of the face of the Babushka Lady.
The picture is not the holy grail when it comes to identifying the babushka lady, but at least there is a tendency for her look to be based on which to continue working.
This is unfortunately in my attempts to make her face on pictures and videos more difficult unfortunately so far not succeeded.