What you have is a Ballard Kentucky model, made in Worchester, Mass. Thus the reason for both markings.
Parts are nearly impossible to find, and unless you got lucky and ran across another fixer upper, I wouldn't waste much time trying.
I sure wouldn't get rid of it, since it's a family heirloom, but I'd consider relegating it to a place above the fireplace.
Ball and Williams was the first of many companies to build Ballard rifles. They built them from 1862 to mid 1865, and many saw use in the Civil War. Most Ball and Williams Ballards used a manually operated extractor, which was located in front of the receiver, under the barrel. Some had a unique automatic extractor that worked when opening the lever, and was very narrow, just catching the 6 o'clock positon of the cartridge.
Some late Ball and Williams had the dual ignition system, which allowed use of rimfire ammo, or using empty rimfire cases with a hole punched in the center, they could be reloaded and fired with a percussion cap on a hidden nipple. The B&W guns were in many calibers from .38RF to .44RF, .54RF, and .56 Spencer. A few obscure calibers were also made.
The screws wont be a problem, but the rest will be. Don't see enough of these for sale, and unfortunately with about 5-6 different makers, parts can be hit or miss when interchanging between makers. The only successful Ballard maker was John M Marlin. The others all went bankrupt making Ballards.
Hope this helps.