Workgroup Credential Pass

I have a good number of computers all working in a WORKGROUP.

For the most part, 95% of the computers all use the same account so that when connecting to another one the credentials are passed through an authenticated.

Is it possible to change the settings of the 'singleusers' accounts so that they first pass the 'allusers' credentials instead of the 'singleusers' creds. I know I can click 'remember the password' for the future but there is more computers than this is reasonable.

Thanks!