Drve names are remembered and stored somewhere in the registry, they only get names if they are manually labelled once. However you could script the mapped drives to be named:
 Code:
Function DriveName($Drive,$Name)
  Dim $Shell
  $Shell = CreateObject("Shell.Application")
  $Shell.NameSpace($Drive).Self.Name = $Name
EndFunction

DriveName("W:","Everyone Disk")