Actually the record resources for 1824 in England are not that good
so no surprise your knowledge is limited, I've checked newspapers for that year for accidents or inquest for young Richard and nothing is coming up. The death certificate civil registration which gave cause of death did not start till July 1837 in England and Richard being so young at death,
it most likely he died from fever, infection or some form of disease like typhoid that was common then due to poor sanitation. Its doubtful if he would leave a Will/probate at that age and it would not really say why he died anyway but could give a hint like, ' in full mind but weakening in body' that would imply a form of illness.
One thing about them days, the vicar would say a few words then they buried the bodys fast, even a inquest was done quick in a local pub unlike today when they need army of administrators to make a massive bill up for a couple of chaps to make a box and dig hole as it was then.
Most parish baptisms, marriages and burials for West Riding of Yorkshire are on free ancestry.com library edition at main city /town libraries on public computer with search engine in Australia or wait till they have a free weekend usage online at home.