"Old Tisworth" is likely Capt. E. N. Titsworth of Gipson's Battalion of the Arkansas Mounted Riflemen (later a member of Gordon's Regiment Ark. Cav.)
Gipson was involved early in the war in the fall of 1861 in operations around the Oklahoma and Texas border and took part in a significant battle at Chusto-Talasah Dec 9 1861. More can be found in Chronicles of Oklahoma Volume 18, No. 3 September, 1940
THE CIVIL WAR IN THE INDIAN TERRITORY
By Dean Trickett
They then moved east along the Arkansas River.
The following from the New Era a Union paper published in Fort Smith ties Scaggs to Gipson which again leads to Titsworth. I suspect that Lt. Scaggs was subordinate to Titsworth and certainly to Gipson.
"The New Era, Fort Smith, Arkansas
January 9, 1864
We received a letter from an officer with the command at Waldron, confirming the death of the notorious Major Gibson(Gipson), who commanded the rebels in the attack on an outpost near Waldron on the 29th ult. One of his lieutenants named Scaggs was also killed and quite a number wounded. Captain Garder and his little band behaved gallantly, and when the rebels- who outnumbered them five to one- demanded their surrender, replied, that there was none of that name present.
The loss of the 2nd Kansas Cavalry is as follows:
Killed: Wm Walker, Company I
Wounded: Orderly Sergeant Harper, Company E, mortally, died the following day; G E Bates, slightly; ____Chapman, slightly; Alex Bratton, severely; ___Curtis, severely, John Cummins, slightly.
The guerrillas are firing on our pickets sometimes but without much harm.
Twenty seven rebel prisoners were brought to this place day before yesterday, by a detachment of the 2nd Arkansas Cavalry, under Captain Cameron. These prisoners were taken in the vicinity of Dardanelle and Waldron. About 200 of the 2nd Arkansas Cavalry are at Jenny Lind, on their way to Cassville, Missouri, to rejoin the regiment, which is expected soon to come down to our State. "
As for Scaggs, my best bet is that this is James Scaggs listed in the NPS system with Gordon's Cavalry.
There is a James Scaggs listed in the 1855 and 1860 Census age not recorded in the Half Breed Lands of the 2nd District and in 1860 Census in Palmyra Twshp Douglas County Ks. Gipson's Rifles were assigned to Stand Waite early in the war.
You may consider co-posting this on the Arkansas forum as I believe all these characters are from NW Ark and Ark units though they did have action in Missouri.