I always understood that a A "Fowler" was someone that went "Fowling" with a "Fowling Piece" ?
I understand the historical use, and it's awesome, but colloquially, a Fowler is a gun. The OP is trying to get his mind around lesson 1, but yes OP, a Fowler historically describes one who hunts Fowl, as, when I set up to regularly hunt the fox that takes my Chickens, I am, archaically speaking, and completely uselessly, a
'Foxer'.
I still go get a beer out of the 'Ice Box' so my bonafides should still be intact...