Re network or local printer:

This may not be universally true but if I go to Start, Printers &
Faxes, rightclick the printer I'm interested in and choose Properties
then go to the Sharing tab:

If the printer drivers are installed from the network server where the
printer is physically installed, the sharing options are all grayed
out.

If it's a locally installed printer driver (whether or not the printer
is physically attached to the computer), I have the option of sharing
the printer on this same tab ... the settings are NOT grayed out.

Also, if you print a test page and look at the Computer Name, if it's a
locally installed driver, it'll be your own computer's name, even if
the printer is physically attached to and shared from another printer.
If it's a network driver, the computer name will be the name of the
computer where the driver's installed from.