|Laptop cannot see itself in 'My Network Places' but can see the nodes of two other machines in the same network and can connect.|
The two other machines cannot see the laptop node and therefore cannot connect. They can see each other and connect.
Curiously the two other machines can see an Apollo Server running on the laptop.
All 3 machines are running Windows XP Pro. IE is the browser.
No domain is involved just a WORKGROUP.