1. You'll want to post this in the networking section to get better answers.
2. What is your operating system on all computers?
3. I am having trouble understanding. What you say actually makes little sense. At first you are talking about what I believe would be a peer to peer network (one computer directly connected to another) but then you mention wireless without talking about a router. See if you can clear that up for me. Then tell me what equipment you have that you need to set up.
4. Local? Local what? Basically a longer more detailed description of your problem would help me help you. Anyway, I hope we can help.