Chrissy,

On transports in general there should be something of use in:

Condon 'Living Conditions on Board Troopships during the War against Revolutionary France, 1793-1815' Journal of the Society for Army Historical Research vol XLIX Spring 1979 no. 197 p 14-19

And there is a little bit about horses in

An Eloquent Soldier. The Peninsular War Journals of Lieutenant Charles Crowe of the Inniskillings, 1812-1814 edited by Gareth Glover p 16

I imagine some cavalry officers would mention how their horses fared on the voyage out, but I don't have a note of any in particular.

Hope this helps,

Rory