Th' gentleman of Fortune brings up an important point!
The average crewman had precious little formal training, and as a lot of the documents Gilkerson mentions bear out, even the officers training didn't do 'em a world of good.
What these classes do, is take the practicality of a given hand weapon and put to the most proficient use. The Boarding Actions class ( a special and separate class held on a riverboat this year!) take what was learned from the cutlass, military sabre, and tomahawk / longknife classes and puts them to use in what would be a simulation of a boarding action where the user has to fight with what he has. As for cutlass, Hutton, Roworth and several others have great advice for close quarter work that while efficient, is certainly anything but gentlamanly! These are the techniques we're talking about. The cutlass is a very down-dirty weapon when used in the right hands and bears little resemblance to a duel-type sword. Two hands can be used, grapples (that go back as far as Marozzo) that were common in brawling , and devestating blade-assists where the torso takes heavy slicing blows.
Boarding axe and hawk are the same way. The hawk class was originally taught by retired Col. Dwight McLemore and uses some nasty binds and counters with a hawk that he took from first-hand accounts. Same with the Bowie work. Steve Huff is teaching it this year and has built on Mac's original work.
So, while there are no formal texts on the styles, the styles are actually "non-styles" of the average fighting man and quite historically correct.
Should prove to be a fantastic class,
Monterey Jack