INDIA - Bengal army

[seasider53]

Evening all, I have finally managed to pin down my 4x Great Grand Father, Joseph SMITH with the following record:
Joseph SMITH, Drum major. Invalid veteran company. Year of enlistment: 01/09/1792.  From Lower Orphan school
Died 05/10/1838

Unfortunalty I have hit another brick wall as I cant locate him in any muster rolls covering the above dates.  As it says he was from the Orphan School I have presumed his Father wouldve been in the Army. Also I cannot find a death cert/burial for him even though i have the date!
Can any one help me unravel this mystery?  I have attached a screen shot of the information I found