looking at the bore at the muzzle, adding the flared tang, i would guess the barrel is a rice or maybe a green mountain.
from the quality of construction i wouldn't give it even a passing doubt as being safe.
if you do dismount the barrel check aft close to the breech for the manufacturers name or symbol.
Rice barrels have a capitol R with a long sweeping front leg.
Green Mountain barrels are marked with what looks like an M within a circle. its not an m but renderings of mountain peaks.
Colrain will be spelled out.
generally they all include the rate of twist in the same area.
GR Douglas marked his barrels on the top, but quit making muzzleloader barrels years ago, though they still show up occasionally. Also I don't think your rifle is that old to have one.
heck, if you are wary of shooting it, send it to me. I will shoot it for a couple years and send it back when satisfied it won't blow up on ya.
Oh wait, i am satisfied now! just go out and have a blast! no pun intended.
That lock looks like it could be a Doc Haddaway, or possible a Bob Roller lock.
I think Bob still checks in on ALR site. could show him a pic or just take the lock out and check.
will say Roller or RR. Hadaway will have a circle with a z, and a cross hatch thru the z.
used my last Hadaway on a cherry half stock build and my wife high graded it. won't even let me shoot it!
hope this gives you some hay to chew and that is a rifle to be proud of.