Elena is not Dr. Barry Nyles daughter spoilers...
I've been seeing alot of unsureness as to whether Elena is Barry Nyles daughter or Mecurio Aborias daughter...she is Mecurio Aborias daughter.....when Barry Nyle says "would you like a picture of your mother" in one of their sessions. The next scene is Elena in her room she looks under her bed and finds a folded picture....as she is looking at the photo she hears/senses a heartbeat as she remotely scans the institute you are cross-faded to a white ceiling and white door and you hear the same heavy breathing that you hear when Dr. Nyle is talking with Dr. Aboria in his room right before the whole 1966 flashback. Then the pyramid is turned on and breaks Elena's connection.
Right after that scene Elena is in another session with Dr. Nyle and she telepathically communicates with him the words....I want to see my father.....
Also when Dr. Nyle delivers the deadly dose of "benign pharmaceuticals" to Dr. Aboria there is the whole interconnected minds scene between Elana and Dr. Aboria..and this is where I believe she acquires her insight of the institute and her means to escape....