Trouble with home network on XP

I am having a problem getting two computers to talk to one another on a basic home network. One computer has Win XP Home edition, the other has Win XP Pro. Both computers can ping the gateway and can get to the Internet. The XP Home computer can seeand ping the XP Pro computer but not the other way around. I have tried it with DHCP running the show as well as setting up hard coded TCP/IP info with DHCP disabled. No results. Can someone please help?