Welcome Tinker and please check out
http://www.shotgunworld.com/bbs/viewtopic.php?f=5&t=366087
and
https://docs.google.com/document/d/1y52UbLaVsDAYd3BJLNTzTnqa7CzuhnbgonQzuYRuLvs/edit
Scroll down to
Damascus Mythology & Reality
Damascus Quality
Barrel Strength and the 1891 Birmingham Proof House Report
Turn-of-the-Century Shotshells, Powder & Ballistics
Barrel Evaluation Recommendations and Non-Destructive Testing

Then let us know where you are and we might be able to recommend a smith nearby with the interest, equipment and expertise to evaluate your barrels.