I don't have an answer, but I share your problem. We moved to Windows 7 32bit and Office 2010 at work. We switched to new computers because unit-wide our previous ones were quite old (XP & Office 2003, and old for that).
My fonts were moved along with the rest of my info and files by our IT staff when they made the move. I came across the restricted fonts issue when I open an old file that contained Baker Signet. Our previous graphic designer had used Baker Signet extensively. We purchased it at that time.
It's not that I can't live without this one particular font, but I am concerned where else this issue is going to raise its ugly head.
The only way I have found to deal with this is to reformat the documents. It substitutes the areas where Baker Signet the format with something strange looking. I will check again and update with details.
On edit: I have added a pdf of merge document for making two-sided table signs for meetings. Hence the strange formatting. You run a mail merge, print, fold down the middle, and voilà—place signs. Anyway, the font still shows as BakerSignet LT 110 in Word. As you can see, though, something else is substituted. (For comparison, here is a link to
Baker Signet at Identifont.)