Old Ford,
Very few over the years to my knowledge, but I saw an original signed DeHuff contract rifle, studied and stocked a copy - ca 1808 - 10 or so and from Lancaster. This was one of some number of rifles made to pattern, and Kauffman's book and other sources may reference these contracts. This had a rifled barrel, first made round, and then the top flats were filed from the round for the rear part of the barrel. Kinda backwards to the usual approach. The corners of the flats were same dimension as the round, and only filed on top where you can see them, bottom was left round like early HF 1803's. The patchbox was similar to HF and 1792 contract rifles.
Interesting . . . lots of experimenting going on, and pressure on prices, maybe some rifles were left full round about that time? Then there is the 1817 common rifle . . .
The Dehuffs had to have started with a round barrel, and I don't know why a round barrel would be any harder to forge and grind than other profiles. This was much heavier than a fowler barrel. In the Christian's Spring inventories ca 1760's and 1770's octagon rifled barrels cost more than round fowler barrels.
Don't know that a gun or barrel maker preferred this, but they made some on order. This may have been to save money, but was heavy. I don't remember the details - maybe a 38" round barrel maybe 1 1/8" dia in about .54. Stout! Bob