Funny you should ask. I was out shooting my Burnside just yesterday. On mine, I aim with the front sight tip set into the deepest notch of the rear site in order to hit point of aim. That works from 25 to about 75 yards, but I haven't done a proper bench test to be able to determine whether the ball is hitting slightly higher and lower at the 2550 and 75 yard increments. At 115 yards (this just happens to be the distance from a convenient platform that I use to shoot) I'm shooting about 6 inches low. But it all depends on how much your powder load is and the weight of your ball. I am using a .562 round ball moud which makes a 276 grain bullet. I am also using 45 grains of 2F powder. The original Burnside bullets used 45 grains of 2F but the bullet weight was in the order of 350 to 385 grains or thereabouts (sorry, i don't have the exact number handy). So, if I theoretically was using the heavier bullet I likely would have to set the front sight tip at the top rear sight like the picture that was shown in the prior post. Therefore, the combination of powder load and ball weight will have a big effect on where your bullet hits.
Another factor affecting point of aim on these older guns is whether or not you are front sight has been worn from use, which would change the point of aim relative to what it was originally the gun left the factory. A worn front sight would cause your point of aim to rise relative to its original point of aim.
What powder load and bullet weight are you using? Feel free to ask questions as I have a fair bit of experience with shooting these original black powder guns.