A few years ago, many of the more detailed labels were removed and were replaced with small notices giving little more than the common and Latin names. There is information about some of the specimens on the Tring Museum website.
I can work on a list as I took photos of most of the specimens currently on display last week; unfortunately, the Blue Whale Hall there is closed right now and to my understanding that's where a lot of the bigger and more interesting specimens were, so if I provide a list it would still be somewhat incomplete.