Remember that old barrels made before the mid 1800s were often coned at the muzzle. That means they will be wider in diameter at the muzzle, and perhaps as much as 4-5 inches back from the muzzle than the rest of the bore.
Calipers are cheap to purchase, and you can find dial calipers from internet suppliers, for under $30.00. See the LINKS section on the index to this forum, up under the MEMBER RESOURCES section. There are direct links to many suppliers, such as MidwayUSA, Midsouth, Brownells, Dixie Gun Works, October Country, Cains, etc.
One way to know for sure what you have it to obtain a piece of solid brass rod( so it won't damage the bore). Oil or grease the barrel well, then put the piece of brass down the barrel. Then using a piece of lead( Usually an oversized lead ball, ie. A .54 barrel in a .50 cal. bore)push( you may have to use a mallet to start the lead down the muzzle) the lead down the barrel until it begins to move freely. That is the indication that the ball is now bore diameter, and probably is also filling the grooves. Upend the gun, and shake the barrel up and down so that the brass rod becomes a " hammer", driving the lead piece out of the barrel.
When the lead piece falls out( onto something soft, like a pile of rags, but in to soft grass, or garden soil, etc.) the brass rod will also come out. With the lead piece now out of the bore, you can use calipers or a micrometer to measure the width of the lead piece from one land to the other. That determines the bore size, or " Caliber". :hatsoff: