I have seen a number of burst T/C Hawkens.
Those that have been loaded with smokeless tend to blow up right at the breech, not split all along. I would be inclined to believe it was a stuck ball.
Wonder when this T/C was made? In the last couple of decades they have used 1137Mod steel, which is also used in lower priced modern shotguns. Not great stuff but tolerable for a muzzle loader.
Nevertheless, a ball stuck in the bore can burst any barrel.
Early T/C's were made with barrels bought from an outside source, disremember who. I do recall someone from that barrel producer telling me they used 12L14 or drawn tubing, whatever was to hand, regardless of what T/C specified. This included barrels for modern cartridge single shot pistols.
I think it just a stuck ball with black powder. Some steels, notably 12L14, are worse than others but even 4140 won't stand this treatment. It is possible for black powder to generate pressures at last 60,000 psi behind a stuck ball.
This has been known since Benjamin Robbins published an article about burst Brown Bess muskets, in Proceedings of the Royal Society sometime about 1760. As in most of human endeavors, what is "known" is not known by all; human beings make mistakes; and explosives do not always do the same thing each time.
It would be interesting to actually handle these pieces. What one can tell by eye is just where the crack started, and which way it went. That is, did it indeed start at the bulge where the ball was stuck (most likely). Identifying the grade of steel, sort of an academic point here, requires good lab analysis for sulfur, phosphorus, lead and carbon, hopefully also manganese, chromium and molybdenum (the latter two most unlikely to be present).
For what its worth I have worked as a metallurgist since late in the JFK presidency, and shot my first muzzle loader (Grampa's single barrel percussion) in 1954. I have done failure analyses on a number of muzzle loading guns, some the shooter's fault. These were published in a three part series in 1985 Muzzle Blasts. I might even know why Douglas went out of the muzzle loading barrel business.
I am well aware that it is quite hopeless to discuss barrel steels with muzzle loader fans.