Found!!! Fido/Felix app
Set up a database with animals needing space and space available.
Initially this will begin primarily with foster and rescue organizations and local shelters--when they are updating their info (either for petfinder, their own sites, or for internal purposes) they could fill out a form that would track their availability and need.
If individuals find an animal, it could be used to help place them into interim or emergency shelters while awaiting permanent shelter spots. It would also populate a "found animal" listing, to assist in providing a resource for owners looking for lost animals.