Hi Joseph,
A few ideas to check:
1. Can you and they edit the layers in the web map via the browser? That would eliminate map settings issues.
2. Did you have them sign out of Field Maps and sign back in once they were added to the editor roles?
3. If your service has any relationship classes, did you enable "Show Related Types" in their Field Maps application settings?
4. Can they edit the map using Collector? That would rule out a problem with Field Maps itself.
5. Have you tried unregistering replicas to ensure there's not some kind of hold on a layer?
Travis