The reference found by Jebber is the reference of the microfilm held in Kew holding the records of probably his son. If you contact The National Archives you can get copies for 40-50p per page. I believe you can ask for a quote first, and I think you can ask for the film to be sent to your nearest LDS FH Centre.
If it is his son it shows that his mother at least was in Buttevant (a garrison town in County Cork) in 1804. If his father died in service his papers would have been destroyed 20 years after his death. This is proved by the fact that he does not appear in the search Jebber made. All surviving papers for men discahrged before 1855 have been microfilmed, and indexed here -
http://www.nationalarchives.gov.uk/catalogue/search.asp You should put WO97 in the Series Code.
For the father you will have to employ a researcher to search the Muster and Pay Lists (WO12), as they are original documents. These are monthly muster rolls, and quarterly pay lists. By starting in 1804 and working backwards you should find when the father enlisted. You will get his promotions and demotions, how much per day he was paid, the actual town he was in, how many days pay he was ducted by drunkenness etc. In a lot of ways they are better than the service papers. Unfortunately both service papers and muster rolls of this date will not give details of his wife and children, which you get in later documents.
See also -
http://www.nationalarchives.gov.uk/militaryhistory/army/step4.htm Ken