I have 2 laptop computers that have wireless cards and also a router.

Laptop 1 was purchased 2 yrs ago and has Windows XP; my printer is attached
via USB cable

Laptop 2 recently purchased and has Windows Vista.

When using laptop 1, and when I go to Network Places, I can see both
computers, and when I click on computer 2, I can access all the my document
files on that computer. This is what I would expect, but I do not have to
put in a "user name and password". I did not put in a passwork on computer
2.

When using laptop 2, it is my desire to print documents from the printer
attached to computer 1. When I go to Network Places, and click on computer
1, I am asked for a "user name and password". I am pretty sure I know the
password I established 2 yrs ago, but I don't know what to put in for :"user
name". As a result, I am unable to get to computer 1. THAT IS MY PROBLEM!

Any suggestions what I can do? Thanks in advance for any help.