From memory, I don't believe the gold models were labeled. .
If you look at this image http://en.memory-alpha.org/wiki/File:Sovereign_observation_lounge_(2373).jpg you can just about make out some gold rectangles in the cabinet that could easily be labels.
Even if all they said was "USS Enterprise NCC-1701" "USS Enterprise NCC-1701-A" etc it wouldn't be hard to work out what they were. (Particularly as by this point Picard had referred to his ship as The Enterprise.
Here's the video:
http://www.youtube.com/watch?v=lRmmHPE8EvA
For a moment, you can see the plaques are clearly labeled.
Yeah, seeing the scene again I guess it is a fairly reasonable assumption on her part. I guess my fuzzy memory was thinking more of the display in the Ent-D where half models are used which gave them a more esoteric look.