HSVENOM,
If the cable is wired as you say above, the system will not work. You have Pin 1 on one end going to pin 2 on the other, and pin 3 on one end going to pin 6 on the other.
Pins 1&2, and 3&6 need to be crossed, no matter the color scheme.
(In my example above, I left off pin 8 on the second connctor, which would be the brown wire, but for a straight 10/100 system, the BLU and BRN pairs are not used.)
For a cross over cable: pin 1 on one end goes to pin 3 on the other, pin 2 on one end goes to pin 6 on the other.
The actual color code helps to keep it consistant, but as long as the cable is pinned correctly, it should work.
Look for the link lights on the ethernet cards on both computers.
The link light only indicates that one computer sees signal from the other. If both link lights are lit, there is a physical path for both computers to talk to each other.
If one or the other is not lit, there is a problm with the pinning of the cable (most likely).
I would suggest always following the proper color code, as it aids in troubleshooting when things don't go right.
Best of luck.