Help with Administrative Rights

Problem:
– Laptop workstation will not give local Admin rights to the rightful user when logged onto the network
– However it will give the user Admin rights when NOT logged on to the network

How do I fix it so the user can get all admin rights when logged on to the network?

[My guess at the origin of this problem is that when I set up the laptop I somehow misnamed the either the local or the network profile so that they do not match.]

Thanks!
Tink 🙂