Note that Mr. Serpa did not ask us "What is this object under Admiral Paulding's coat?" (like he did with General Hunter...) there could be something there like a wallet... but I'm thinking mostly it's just belly...
BTW...
@Mike Serpa , I still think you need to declare (or poll) the top 5 best, most likely answers to the General Hunter question... I'm still thinking it's a collapsible whisky cup...