Anyone could just google J&S Hawken rifle and TC Hawken rifle and see, but I'll summarize. A J&S or Sam Hawken rifle was normally a 9-11 pound rifle, with (on average) a 34" barrel, steel mounts of distinctive styling including a scroll guard and a deep crescent buttplate. There was no excess wood anywhere, and the rifles were finely crafted, one at a time. Designed for strength with a long tang bolted through to the long trigger bar, they were made for accurate round ball shooting at distance with rifling was normally deep.
A TC "Hawken" rifle is a lightweight short barreled rifle with modern, often round-ended (for machine inletting) brass furniture that has no resemblance to original Hawken rifles. The stocks closely resemble post-WWII cheap .22 rifles or centerfire sporters. That is because they were designed to market to "second season" deer hunters who were used to modern guns.
Resemblance of TC Hawkens to original Hawken plains or mountain rifles:
Barrel: unrecognizable as a Hawken barrel, too short and lightweight with shallow rifling
Lock: unrecognizable as Hawken with cast-in engraving and hammer
Tang/breech: unrecognizable as a Hawken breech/tang
Triggers: unrecognizable design
Guard: unrecognizable in design and material
Buttplate: unrecognizable in design and material
Thimbles: unrecognizable in design, material and fastening
Nosecap: unrecognizable in shape and material
Sights: unrecognizable, modern styling
Rifling: unrecognizable, out of place depth and twist
Stock styling: unrecognizable as a Hawken, out of place clubbiness
In short, there is no single part in a TC Hawken, that a person knowledgable in J&S or Sam Hawken rifles would recognize as belonging on a Hawken rifle.
A contemporary Hawken rifle:
http://contemporarymakers.blogspot.com/2010/02/louie-parker-s-hawken.html(added) I don't hate TC Hawkens, I think it is misleading that they were marketed as Hawken rifles. because they are only vaguely historically inspired, they do not interest me other than as a tool I could use for a purpose if I didn't have another.