That was the only version of the Hawken rifle, to the best of my knowledge.
If it says Uberti, that is it.
I don't recall seeing the Santa Fe, NM stamping on the barrel, but it could have been there. IIRC, Santa Fe was where the primary importer of the Uberti firearms was located, back in the day.
Here is what I found in the 6th edition of Bluebook of Black Powder Firearms
Allen Firearms
Previous importer located in Santa Fe, NM, importing Uberti and Co reproductions and replicas until early in 1987.
After Allen Firearms closed, Old West Gun Co, now Cimarron FA Co, located in Fredricksburg, TX, purchased the remaining inventory. Since all guns sold by Allen Firearms were manufactured by Uberti, they even used the same catalog...
The listed value of one of them at 100% was $395 in 2009
Anyway, great rifle.
The only other Uberti rifle listed was their St. Louis rifle.
I have shot .530 in them, but loading was accomplished with a hammer. Use .520's.
I am not aware of any being delivered as kit rifles, but could have been.
There you go.
John