Did this ever work correctly before?
Did this issue just suddenly start happening?
Is this issue only with this one staff member?
Or can you recreate this problem by sending a meeting invite from anyone in the Sub Dept to the Main Dept?
If its only the 2007 users who dont see the Meetings Options, check to see if they are using Cached Exchange Mode? If they are try turning it off and see if this makes a difference.
Can find this in Tools>Account Settings>Open User Account Details
Right under Exchange Server you will see an option for "Use Cached Exchange Mode"
Untick this and Apply.
Then try it again.