I don't like Patricia and I don't like the potential nickname Pat. I do like Patsy, though. EvePatricia would be my choice. However, because you want to pair it with Lorraine and Glenna, PatriciaEve would fit better.
EvePatricia hands down. It has a beautiful flow. PatriciaEve has too abrupt a transition between the two names. I think Glenna, Lorraine, and Eve make good names for sisters. All very different, but complimentary.