As I explained, what you are calling "a list" is an image of the original burial register. Unfortunately no other information has been recorded against the names of the individuals who were buried. On some burial records you do get a mention of age, or some other snippet of information which can be helpful. On this record, it is not the case.
There were military barracks at Woolwich, and the Royal Navy dockyards were also at Woolwich.
If you know your man died in 1810 and he was in the army / navy, it is more likely that the correct burial is the one on 28 Jul 1810 at Woolwich St Mary Magdalene.