if you can make a trip to Kew (I dont think the records are online).
the regimental diaries of the different regiments involved would record any desertions, and other events in the regimental history.
I don't think there is an actual list of deserters though, so it will take some searching to find the name you are looking for.
if you do find another way of tracing deserters please let me know, my gt grandfather is believed to have deserted in hong kong in about 1908, but he assumed a new name to avoid being caught and we can't find any trace of him before that, don't even know what name to look for.
Jon