It would seen that the most likely places for the members of Hart's Arkansas Post to have wound up would have been either

BG James Deshler's Brigade of MG Patrick Cleburne's Division which included:

19th-24th Arkansas: Ltc A. S. Hutchison
6th-10th Texas-15th Texas Cavalry (dismounted): Col Roger Q. Mills, Ltc T. Scott Anderson
17th-18th-24th-25th Texas Cavalry (dismounted): Col F. C. Wilkes, Ltc John T. Coit, Maj William A. Taylor

or in the Calvert's (Arkansas) Battery, commanded by Lt Thomas J. Key, which supported Cleburne's Division.