Ah, the joys of wireless networking…
First, let me guess that you don’t really mean a Domain, but instead, a Workgroup. Running a domain with a 4 machine network is unlikely (feel free to correct this assumption).
My guess is that what you are seeing is your neighbors machine, which synced to your wireless network. And your right, that is bad, particularly if you have enabled file and print sharing (which I would suspect you have).
What you want to do, minimum, is to make it difficult for anyone else to connect to wireless network. You don’t mention any of the specifics of the wireless network, so I will also assume it is an 802.11B network.
These networks are notoriously insecure (and also quite convenient, as I am using one myself). Right out of the box, they are configured to make it as easy as possible to allow folks to connect to it.
802.11B includes a number of features are part of the protocol that can help, and most vendors of 802.11B equipment have added some proprietary security features.
Generally, you should visit the manufacturer’s website of the 802.11B access point, look in Support, and search for “securing the wireless network”, and follow their pointers.
At minimum, I suggest that you enable WEP encryption with preassigned static keys. If the vendor supports it, you should also use MAC address filtering to limit access to only the wireless cards you own.
Now, neither of these will make your network secure, it will just make it more difficult for someone to “accidently” connect to your network. If an malcontent really wants access to your network, and that concerns you, you will have to do more than the above.
Your options here get more complicated. You may first consider an authentication solution (used to “logon” to your wireless network). Depending on the vendor, this may require a separate program (an authentication server). You might also consider using VPN technology, but this will likely require a separate VPN device, as well as a VPN client on each of the four machines.
If you want to post the Brand and Model of the wireless equipment, as well as your level of security required (and budget, if any), I could try to give you more specific pointers.