Your Tradition's Lightening inline rifle can be cleaned with a simple 50/50 mix of isopropyl alcohol and car windshield washer fluid. Work your patch down the muzzle in short strokes. I usually run 2" inches at a time, working all the way down the bore. After cleaning top to bottom, turn the damp patch over and do the other side in the same way. After that one or two dry patches worked through the bore much in the same way as the damp one will insure that your bore is swabbed and dry... You can then load as normal.

Pioneers used spit on patches, urine, water, about anything wet you could say to swab a bore. Also remember, they seldom had to swab between shots because of the type of rifles they shot and the kind of projectiles used..