Question : Logon failure: the user has not been granted the requested logon type Win Vista Home Premium/ Vista Business.

Have tried to make the accounts the same.
I can access from the Vista Home Premium machine to the Vista Business.  We will call them VHP and VB from now on to make it easier.

Made one account the same.  
I can logon with an account from VHP to VB with no problems.  I get the logon failure error trying to go from VB to VHP.

Please help me resolve this.  Both systems are also 64bit systems.  Really the only difference is Home Premium vs Basic.  
One is a laptop and one is a desktop.  Laptop is wireless using same router as desktop.

Answer : Logon failure: the user has not been granted the requested logon type Win Vista Home Premium/ Vista Business.

Sorry for the delay in getting back to this.  
Actually the Guest account was enabled.  I turned it off and WOOHOO!.  I got a logon screen.  Wierd.  Anyway the problem is actually resolved.

Thanks To All.