You say that not all Hawkens are alike, that it's a style. Are there parameters or something? What makes a rifle a Hawken or not?
The name "Hawken" originated with rifles made by Samuel and Jacob Hawken in St. Louis during the first half of the 17th. century for use by trappers in the Rocky Mountains.
(Oops! Make that the 19th. century.) They were long heavy barrel rifles, usually with large bores.
Rifles such as the TC Hawken are a somewhat "loose interpretation" of a Hawken rifle. The Lyman Great Plains rifle is a fairly close representation of the Hawken rifle. The Pedersoli Rocky Mountain Hawken and Missouri River Hawken are even closer.
The Lyman Deerstalker and other carbine style sidelocks are nowhere near a Hawken in design, and are not referred to as Hawken style rifles by the manufacturers.