Melinda and Eli go and talk to Fiona but she totally shuts them off.
After that Eli gets back alone at professor Payne's place.
Eli: That was a long shot, anyway. (It was worth trying to talk to Fiona?)
Without a court order the county keeps
Family servie record sealed.
A long shot is something that isn't likely to succeed.

If a horse is in a horse race and has 64:1 odds of winning, he's a long shot.

It's something you don't think will work, but you try anyway.
Thanks, Barbara!