Yes, sir, that's the same outfit. When Adams' Regiment was disbanded, the members who had left the field and gone home were ordered to join Harrell's 17th Battalion Arkansas Cavalry. The members who had rallied to the colors at Prairie Grove were ordered to report for duty with Shaler's 27th Arkansas Infantry.
Hindman was complimentary of the officers and men of Adams' regiment who stayed in the fight, and in his report emphasized the fact that those men did not share in the regiment's dishonor.
Of all the troops engaged on our side, Adams' Arkansas regiment alone dishonored itself. It was well armed, ably commanded, and surrounded by good soldiers from the same State, setting it an example of courage and patriotism; but, after delivering a single fire, the greater part of the men broke ranks, threw down their arms, and shamefully fled, many of them even deserting to the enemy. The field and staff officers who had been appointed rallied about 75 around the colors, and these did much to redeem the reputation of the regiment. With but few exceptions, the company officers exerted no influence.