You won't get them to leave.
Is it legal to relocate in your county/state?
Relocating just usually dumps wise trap animals on someone else and they'll have to deal with them.
I agree, Mom is likely somewhere.
If your coop/run is secure and you don't have any food/water that attracts them, then they may move on or at least not bother the chickens at night. But generally Raccoons hang out in an area they are familiar with. I'm not sure of their range, but it's probably a mile or more.
If they become a nuisance, check her local and state trapping laws, trap and dispatch if legal. Probably not what you want to hear, but please don't dump them on someone else. Relocated animals often struggle to find food sources and may also encounter predators, so if you think it will be wonderful for them if you just trap and release into a random field or some woods, consider where they may go and what they may encounter.
I have them come through and only trap if I have one that is being a real nuisance. Some years I trap more, others I don't.