Can anyone give me some advice please as regards The Royal Staff Corps?

First of all is there any publication which has any sort of detailed history of this unit? I have Porter's nine volume History of the Royal Engineers, which seems, remarkably,
to have ignored this rather elite Corps - or perhaps as they had such a short existence he did not know about them - but I find this hard to believe.

Secondly, I understand that a company of some 57 men took part in the Battle of New Orleans in 1815. Is it possible to find a list of those who took part, perhaps a muster roll or something?
I would particularly like to try to find out if anyone present subsequently wrote about their experiences in the battle.

Thanks,
Allan