SCM, Luvmylabs should be able to give you tons of advice, I would try PMing her.
Sending her out to the streets to have her babies would be just cruel in my mind, but doing as 14+ suggested, aborting and spaying then releasing would be the second best option if she doesn't settle down in the room.
BTW, I do know of a very tame, house kitty that does the same thing to try to get out of his enclosure. He is almost obsessed with it
. The owner has clear corregated plastic sheathing along the top of her fence so he can't get out.
Are you sure she hasn't had her babies?