My understanding is that the caliber of a muzzleloader is specified as the interior diameter of the lands. ("Lands" are the inward-protruding ridges created by the rifling, while "grooves" are the valleys between lands). .491 sounds awfully tight for a .50 caliber New Englander, which I would expect to have the same, or nearly the same, dimensions as my .50 Renegade. A .495 round ball free-falls down the barrel of my Renegade, the .495 diameters of the bases of Hornady GP and PA conicals fit into that bore with fingers, and those bullets don't get too tight to push in by hand until the .504 driving band touches the rifling. So... the ID of the lands on my Renegade is .500 or perhaps just a bit larger.
From experience in precision machining, measuring the inside diameter of any cylinder with a dial caliper is tricky because all misalignments of the caliper and all placements of the jaws on any chord of the circle which does not pass through the axis of the bore result in erroneous readings that are too small - and it's very difficult to ensure perfect alignment and placement of the jaws. Measuring the ID of a rifled bore is especially tricky because, in addition to the difficulty of measuring the ID of a smooth tube, you also have the rifling to deal with.
For these reasons, the standard way to measure the inside diameters of bores is to "slug" the bore by pushing a piece of soft lead - usually a soft lead bullet of slightly larger diameter than the bore - all the way into the bore, pushing or pulling out the bullet, and then measuring the deformed bullet. The outside diameters engraved on the bullet will be the same as the inside diameters of the bore, and they are much easier to measure. It's a little trickier with a sidelock ML because you don't have an open breech to push a slugged bullet back out after it's been conformed to the ID of your bore.
If you have a bullet puller, you could push a Hornady GP bullet a couple inches into the bore of your New Englander, screw your bullet puller into the bullet, and then pull it back out. No need to screw the bullet puller in very far, as the Hornady bullets are soft lead and are pushed down the bore very easily once they're started, so they will pull out easily, and the hollow point will help the screw of the bullet puller get started. Once you pull the bullet back out, you can measure the diameters of the lands and grooves which have been engraved into the bullet, which is much easier to do than measuring their interior diameters in the bore.