hi,,i was having a look for your soldier,,and not having any luck,,,,when i happened to be looking at the service record of a totally different Charles Moore,,,and then maybe,your luck changed,,,,Amongst the pages of this other Charles Moore i found a couple of pages which did not belong with this record.
They were for another Charles Moore who joined the 4th foot in Colchester,Essex,,in 1813 aged 14,,so born c1799,,,he was from Leitrim,,
he served as a drummer boy from 1813-1817,,then as a private from 1817-1839.
he served 26 years in total,,,,serving in the East Indies 1837-1839 and the West Indies 1819-1826
he was discharged in jan 1840,,and the thing that caught my eye was the place he was discharged,,,,Douglas,Isle of Man !
So,,,this could your man,,,there is nothing more to be learned from the images,,,but if it is him,,,at least you know which regiment he was in.