I’ve always like to think they were all the same entity, eternally guiding the Federation.
I’ve probably mentioned this so many times I’m boring you, but in the Star Trek New Frontier novels , she … her name is Morgan Primus is exactly that. She’s an immortal who lived a long long time under many names…Number One (from Pike Trek), Nurse Chapel and so on.
Hmm, maybe that’s where I know that idea from. 
Thanks for joining me tonight. Bed time for me. Good nite!