"I don't expect your analysis will yield any shocking revelations such as Crescent Steel barrels were actually better or stronger than Kilby, Krupp, or Whitworth. They were better for making a gun that could be sold cheaply. We see how various barrels stand the test of time. Knowing the tensile strength of a particular Hunter Arms L.C. Smith OO Grade barrel isn't going to tell us much that we don't already know."

Interesting observation William.
It turns out that a specimen of 1898 Smith No. 00 Armor steel was non-standard (high phosphorus and sulfur) AISI 1045 with a measured tensile strength of 101,000 psi. Very good stuff for a farm implement grade gun!

And a c. 1925 Crescent Fire Arms “Genuine Armory Steel” barrel with the ‘LLH’ mark of Laurent Lochet-Habran was non-standard (high phosphorus) AISI 1040 Steel with a measured Tensile Strength of 104,000 psi. Crescent apparently moved on from decarbonized steel. Also good stuff.

I found a historical report of the composition of Krupp Fluss Stahl from the 1890s and it was similar to AISI 1045 which has an industrial standard tensile strength of 82,000-85,000 psi
https://www.azom.com/article.aspx?ArticleID=6130