I’ve shot a .44 cap and ball revolver with a 3” barrel but the cylinder add another 1-1.5” to the barrel length. The maximum charge is about 35 grains when compressed, using FFFg you can hear the difference between 25 and 35 grains when it hits a steel target. 15 grains seem to be a very small load even for a 3” derringer, does the 1-1.5” extra barrel length of the revolver really make that much of a difference? I wounder where the sweet spot is, too much powder and you decrease the travel of the bullet (equivalent to a shorter barrel) but a too small charge won’t generate enough pressure too gain maximum velocity.
Searching for an answer I found this chart
Black Powder Ballistics Looking at the .44 Remington with a 5.5 inch barrel (cylinder not include) the heaviest charge of 46 grains gave highest velocity. A 6.5-7” barrel is a significant difference compared to the 3” of the Philadelphia Derringer though.