M the GM - Surgeons gained commisioned officer status at some point after the Napoleonic Wars. I'm sorry I have not yet turned up any other details about George Bellamy's service, but as he was medically qualified he must have been in the forefront of Naval Surgeons, though not classed as Physician (who mainly served in Naval Hospitals).

Thanks Anglogeezer - the first song you posted is excellent, the second one is a different Cochrane. There were a number of Admiral Cochranes not the least of whom was Thomas Cochrane's uncle, who was quite beastly to 'Mercans in the War of 1812.