networking icon problems

Hi, I have two computers, both Win98SE computers They are in a wireless
network. Computer A is wire connected to the router by an Ethernet cable.
Computer B is wireless connected. When I click on NETWORK NEIGHBORHOOD icon,
ENTIRE NEIGHBORHOOD icon appears with computers A and B icons. If I click on
ENTIRE NEIGHBORHOOD icon, an empty display opens up.

With the other computer a display opens up showing a WORKGROUP icon, and on
clicking this I see a display showing icons for computers A and B.

Obviously something is amiss on computer A. How can I rectify this?

Thanks for any help or suggestion.