I have been intent on a firewall since I am also assume that you make use of the tutorial to setup of file and printer sharing the similar workgroup name and so on. After I revealed that I possibly will be able to see my router I then ran into some of the odd and random complexity and soon reverted to "Hide icons for ..." so don't know whether the error message you get is the reason by the firewall or by the router for not behaving.

If any of the 4 ping tests in the following fail to return respond then the most likely cause is a firewall on the end machine.

To open a Command Window: Start - Run – cmd (command in 98SE) – OK

To verifying a computer's IP address: open a Command Window and type ipconfig in it.

Now for some troubleshooting:

1. On each of the PC open a Command window and type ping IP of Other (where IP of Other is the IP address of the other PC)

Do you get Replies, or do you get packets lost?

If you got Replies,

2. Do the same ping apart from use the Computer Name of the other computer: ping Name of Other PC

Replies or lost packets?

If you got Replies to either or both,

3. Then
Start - Run - \\IPofOther - OK

With luck after about a minute you should get an explorer window showing the other PC's shares. If not, what is the error message?

I swiftly ran the pings from each of the PC and both of them were timed out - all lost on each. It's worked on it for the whole night.
Thanks for help to date.

Hold the Windows key and press R, then type CMD to open a command prompt: In the command prompt window which opens, type the below shown commands, one at a time, followed by the Enter key:

NBTSTAT -n

IPCONFIG /ALL

Then right click in the command window and choose Select All, then hit Enter for copying the stuff to the clipboard. Also paste the results in a message here. If you are on a machine where there is no network connection, then make use of a floppy, USB disk, or a CD-RW disk for transferring a text file with the information to allow pasting it here.