Found Baby Mockingbirds in Tree That Was Cut Down – How to Care them or where to take them?

I had a couple of rotting trees removed from my yard today (Atascocita area). While cutting the second tree down, the tree service workers found a nest of baby mockingbirds.

Is there a bird rescue in the area by chance, or would anyone know how to take care of them?

I still have the rotted branch where they were nesting and plan on attaching it to something to raise it off the ground. Is there a chance the mother will return to the nest and continue to care for them, or will the fact that the nest will be moved deter her?