I used to have two desktops A & B, they have internet sharing and printer sharing , they were working fine.

Desktop A XP Professional SP2 PC has got two printers (HP and Samsung) connected directly (USB cable), and Printer sharing is turned on .

I bought another Desktop to replace B, because B is an old PC.

From the Desktop B, when attempting to chose the option :
A network printer, or a printer attached to another computer

to add a shared printer , I can browse and see the printers name (hp and Samsung), however, when I attempt to
connect both of them, I get the following error :

cannot connect to the printer operation could not be completed error

Do I need to have admin account with their passwords on both Desktop to be able to share the printers ?

Why not trying to share one printer at a time? That is you share the HP first then do another wizard to share the Samsung.

Why not trying to share one printer at a time?
This what I did , but non of them worked