If I read the ipconfig results correctly, one computers using private IP and another public IP. In this case you may want to add a router between the computers and DSL modem or using ICS.

How to setup Windows ICS In addition, the ICS host provides DHCP to ICS clients. ... To setup a win9x (in our case) as ICS client to access the internet, you need to do two things. ...
     www.howtonetworking.com/Windows/ics.htm  

Bob Lin, MS-MVP, MCSE & CNE
Networking, Internet, Routing, VPN Troubleshooting on http://www.ChicagoTech.net 
How to Setup Windows, Network, VPN & Remote Access on http://www.HowToNetworking.com 
 Hi there. We have a hub. Here's the ipconfig output:

 Windows IP Configuration

 Ethernet adapter Local Area Connection:

         Media State . . . . . . . . . . . : Media disconnected

 Ethernet adapter Wireless Network Connection 4:

         Connection-specific DNS Suffix  . :
         IP Address. . . . . . . . . . . . : 192.168.1.205
         Subnet Mask . . . . . . . . . . . : 255.255.255.0
         Default Gateway . . . . . . . . . : 192.168.1.1

 C:\Documents and Settings\Ruth>ipconfig /all

 Windows IP Configuration

         Host Name . . . . . . . . . . . . : RUTH
         Primary Dns Suffix  . . . . . . . :
         Node Type . . . . . . . . . . . . : Unknown
         IP Routing Enabled. . . . . . . . : No
         WINS Proxy Enabled. . . . . . . . : No

 Ethernet adapter Local Area Connection:

         Connection-specific DNS Suffix  . :
         Description . . . . . . . . . . . : Intel(R) PRO/100 VE Network
 Connecti
 on
         Physical Address. . . . . . . . . : 00-0E-7B-90-F9-17
         Dhcp Enabled. . . . . . . . . . . : Yes
         Autoconfiguration Enabled . . . . : Yes
         IP Address. . . . . . . . . . . . : 71.146.31.70
         Subnet Mask . . . . . . . . . . . : 255.255.255.0
         Default Gateway . . . . . . . . . : 71.146.31.71
         DHCP Server . . . . . . . . . . . : 192.168.0.1
         DNS Servers . . . . . . . . . . . : 192.168.0.1
                                             192.168.0.1
         Lease Obtained. . . . . . . . . . : Monday, July 31, 2006
 2:50:31 AM
         Lease Expires . . . . . . . . . . : Monday, July 31, 2006
 3:00:31 AM

 Ethernet adapter Wireless Network Connection 4:

         Media State . . . . . . . . . . . : Media disconnected
         Description . . . . . . . . . . . : Intel(R) PRO/Wireless
 2200BG Network
  Connection
         Physical Address. . . . . . . . . : 00-0E-35-3C-C8-52

 Thanks again.

 Robert L [MS-MVP] wrote:
 > How do you connect to the DSL? Do you have a hub or switch? Posting the result of ipconfig may help.
 >
 > Bob Lin, MS-MVP, MCSE & CNE
 > Networking, Internet, Routing, VPN Troubleshooting on http://www.ChicagoTech.net
 > How to Setup Windows, Network, VPN & Remote Access on http://www.HowToNetworking.com
 >   <ickleruthiekins@gmail.com> wrote in message news:1154313896.585286.102210@m79g2000cwm.googlegroups.com...
 >   Hi, I've been having trouble figuring out why my roommate and I can't
 >   simultaneously be online. The answer to my problem might be something
 >   incredibly obvious, but I don't know anything about this network stuff
 >   and I've been working off only what I've found on the internet that I
 >   thought might be the problem. I was wondering if there's anyone who
 >   might be able to help me out.
 >
 >   Basically we recently signed up with SBC Yahoo for DSL. My roommate
 >   first installed it and went online, and then I installed it and tried
 >   connecting, but then I got a bunch of messages about how there's an ip
 >   address conflict with another device on the system (there are only our
 >   two laptops on the system). Or it would say that there's limited
 >   connectivity. So I went online and tried to look up what might be the
 >   problem, and I concluded that it might be that we were set up to obtain
 >   an ip address automatically and as a result being handed out the same
 >   address, or something. So I tried setting up static ip addresses
 >   according to http://www.portforward.com/networking/static-xp.htm, but
 >   that didn't work either. I've also done the whole restarting the
 >   router, restarting the computer thing. How can I go about fixing this
 >   thing?
 >
 >   Thanks.
 >
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 > <BODY bgColor=#ffffff>
 > <DIV><FONT size=2>How do you connect to the DSL? Do you have a hub or switch?
 > Posting the result of ipconfig may help.</FONT></DIV>
 > <DIV><BR>Bob Lin, MS-MVP, MCSE &amp; CNE<BR>Networking, Internet, Routing, VPN
 > Troubleshooting on <A
 > href="http://www.ChicagoTech.net">http://www.ChicagoTech.net</A> <BR>How to
 > Setup Windows, Network, VPN &amp; Remote Access on <A
 > href="http://www.HowToNetworking.com">http://www.HowToNetworking.com</A> </DIV>
 > <BLOCKQUOTE
 > style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
 >   <DIV>&lt;<A
 >   href="mailto:ickleruthiekins@gmail.com">ickleruthiekins@gmail.com</A>&gt;
 >   wrote in message <A
 >   href="news:1154313896.585286.102210@m79g2000cwm.googlegroups.com">news:1154313896.585286.102210@m79g2000cwm.googlegroups.com</A>...</DIV>Hi,
 >   I've been having trouble figuring out why my roommate and I
 >   can't<BR>simultaneously be online. The answer to my problem might be
 >   something<BR>incredibly obvious, but I don't know anything about this network
 >   stuff<BR>and I've been working off only what I've found on the internet that
 >   I<BR>thought might be the problem. I was wondering if there's anyone
 >   who<BR>might be able to help me out.<BR><BR>Basically we recently signed up
 >   with SBC Yahoo for DSL. My roommate<BR>first installed it and went online, and
 >   then I installed it and tried<BR>connecting, but then I got a bunch of
 >   messages about how there's an ip<BR>address conflict with another device on
 >   the system (there are only our<BR>two laptops on the system). Or it would say
 >   that there's limited<BR>connectivity. So I went online and tried to look up
 >   what might be the<BR>problem, and I concluded that it might be that we were
 >   set up to obtain<BR>an ip address automatically and as a result being handed
 >   out the same<BR>address, or something. So I tried setting up static ip
 >   addresses<BR>according to <A
 >   href="http://www.portforward.com/networking/static-xp.htm">http://www.portforward.com/
networking/static-xp.htm</A>,
 >   but<BR>that didn't work either. I've also done the whole restarting
 >   the<BR>router, restarting the computer thing. How can I go about fixing
 >   this<BR>thing?<BR><BR>Thanks.<BR></BLOCKQUOTE></BODY></HTML>
 >
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