Restoring files from another machine's backup

10.7.2 on the old mac, 10.7.2 on the "attempting to restore to machine". 3rd Mac with 10.6.8 also using ReadyNAS as time machine backup. The 10.6.8 machine continues to work without issue, but when I choose the "browse other backups" on it, it only sees its own backup. the "new" 10.7.2 machine sees no backups when "browsing other", even though I've connected it to the ReadyNAS using the "ReadyNAS" username and password.

ReadyNAS NV+ with RAIDiator 4.1.9

Yes, used the "Easy Time Machine Setup with the ReadyNAS" to do the initial setups. Previous 10.7.2 and 10.6.8 were easy setups, and never had any errors backing up. Have used time machine on both of them to recover single files with no issues. The machine I'm attempting to restore to never used time machine, it was just a "cruise web and play itunes" machine. Trying to use it now as a stop-gap measure to restore the crashed machine, hoping to hold out on buying a new Mac until Ivy Bridge iMacs and Mac Minis show up.

Either way I need access to the time machine backup/restore. Being able to restore single files is all well and good, but my main reason for using time machine with the readynas was exactly this - the ability to recover my data to a new / different Mac in the event of a catastrophic failure.