Does Wifi mean I have Wireless capability on my laptop?

I recently bought a laptop on Ebay. It was advertized as having "Wifi". I took that to mean that it have wireless capability. Because the hard drive was bad and I had to return it to the seller, I had to reload Windows XP SP2. I therefore never had the chance to find out whether the machine had wireless capability or not. All I need is a wireless capability to connect to the internet.

 

I have downloaded just about every (all the urgent and required) driver that is pertinent to that machine's service tag.

 

I still have no way of connecting to the internet wirelessly.

 

I started out by following instructions in the article:

 

http://support.dell.com/support/topics/global.aspx/support/dsn/en/document?journalid=6412292686FA11DC817953F089A59844&docid=1F027DB36FD5BA1FE0401E0A551771A2

 

Prior to the post above, I had read:

 

http://support.dell.com/support/topics/global.aspx/support/dsn/en/document?c=us&cs=19&docid=303374&l=en&s=dhs

 

I failed to duplicate what is shown in Figure 1. Does this mean that my laptop does not have wireless capability? If the answer is no, then how do I detect that I have a wireless network card?

 

What driver would solve my problem?

 

I am very frustrated and I need answers before I can go after the seller for being deceptive.