For what it is worth
Between November 1863 and March 1865, the Tyler Ordnance Works produced 1193 "Texas Rifles' 423 Hill Rifles, 508 Enfield Rifles, 56 Austrian Rifles, and 43 Miscellaneous Rifles, for a total of 2,223 arms.

During the same time period, the following issues can be documented:
August 1864 to Col G. Long, post at Bonham,

255 New Tyler Rifles

120 New Hill Rifles
Oct. 1864 To Col Duff

160 Enfield Rifles
Feb. 17, 1865 To: Col D.B. Martin [Conscript Service]

35 Austrian Rifles

5 Mississippi Rifles

3 Richmond Rifles

2 Enfield Rifles

1 Texas Rifle

Total this issue 46
March 30, 1865

To. Col E. D. Jamison [Reserve Corps- Camp Ford]

5 Illegible Rifles

5 Springfield Rifles

5 Belgian Rifles

3 Austrian Rifles

8 Mississippi Rifles

2 US Rifles

5 Arkadelphia Rifles

18 Rifle Muskets

423 Muskets

38 Musketoons

Total for this issue 512

The total of all issues is 1063. Hill was a "by the book" officer and was consistent in his listing of weapons. It is apparent that he collected a large number of weapons other than those made at Tyler, especially as reflected in the last two issues to the Reserve Corps.

During its existence I can account for the production of 2,652,601 rounds of ammunition of which 331,000 were pistol ammunition and 2,331,000 were for long arms of various calibers.
In addition to the weapon[s] at the Fuller Collection at Chickamauga, the Texas Ranger Museum in Waco did have a militarized sporting rifle attributed to the Tyler Works. The Smith County Historical Society in Tyler has a lock plate and a collection of bullets recovered when the building used for the cartridge laboratory was razed in 1979.

You should not rely completely on Albaugh's book "Tyler Texas, CSA" as it is not a complete transcription of Hill's letter book. It includes probably only half of the letters.

Hope this helped