What became of the battery that Cpt John G. Reid commanded at Prairie Grove.

I understand that the battery that Ried commanded at Prairie Grove WAS NOT the Fort Smith Artillery which he commanded at Wilson's Creek. The Fort Smith Artillery had mustered out of service with the rest of Pearce's brigde following Wilcon Creek, and then immediately reorganized and reentered Confederate in time to participate in the Battle of Pear Ridge and then left the state with the rest of Van Dorn's Army when they moved east of the Mississippi River. Reid had not remained with the Fort Smith Artillery and Captain David Provence was elected to replace him. Provence was suceeded by Captain John T. Humphreys and finally Captain John W. Rivers.

Mean while Reid winds up commanding a 37 man battery with two 6 pound smooth bore cannon assigned to John S. Roane's Division at Prairie Grove.

What happened to this unit after Prairie Grove?