Just some friendly advice about doing precise measuring of bullets/balls:
When measuring excavated lead bullets or balls, we must take the lead-oxide encrustation ("patina") thickness into account. (Remember, you are measuring two layers of it, one layer on each side of the bullet (or ball). Fairly thin patina can add .005-inch, "moderate" patina adds about .01-inch, and heavy patina can add as much as .02-inch the bullet/ball's original diameter. That is why some excavated civil war bullets measure .585-inch, which wouldn't fit down the barrel of a .58-caliber rifle. (By the way, there was no .59-caliber rifle.)
The two smaller balls in the photo show heavy lead-oxide patina. I'd subtract .02-inch from the measurement you got.
When measuring a fired cylindrical bullet (for rifles and pistols), we must take into account the thickness of the rifling-ridges made by the rifling-grooves in the gunbarrel, if the fired bullet shows them. Rifling-ridges can add as much as .02 to .03-inch to a bullet's original diameter.
Also, it's helpful to measure the ball in more than one direction, to detect whether it is out-of-round. If there's more than a VERY slight difference in the measurments you get, the ball is out-of-round and therefore is very unlikely to be a musketball/pistolball. Like cannonballs, those projectiles were very carefullly manufactured to be perfectly round, so they wouldn't jam inside the gunbarrel during loading or firing.