We have a little home network with computer firewall and six wired total 11 computers, we are all using win 7 64 bit, some with dual boots.
We tried all ways to enable homegroup, but it just kept coming up with problems, so my son set it up with the other options. like read only and no passwords.
We only did this because we all have very good firewall because doing these options would be risky without a decent firewall.
Now it's fine we can all share what we want. It's nice to see all the computers in the work group
They do have a wireless set up not homegroup which is used mainly for their laptops.
Our main net work is the wired set up.
I hope you get it sorted, it can be very frustrating, when things don't work as well as we want them to.