Hayes,
As I type this I'm looking at a M1816 {Harpers Ferry 1828] in original flintlock configuration, several M1816's with Belgian conversions and a Remington Maynard conversion dated 1857. I must concur with both Gene and Mike that Thomas Taylor's musket is indeed a Remington Maynard. The lower bands on all the 1816's in my collection, a total of 7, are virtually identical. Hope this helps.
Regards,
Patrick Reardon