Luke, there is a museum in Greenville, Ohio [Darke County] that has many artifacts from that area including Annie Oakley and Lowell Thomas items. It is the The Garst Museum, 205 North Broadway, Greenville, Ohio 45331.
The website:
information@garstmuseum.org
Phone: 937-548-5250
I grew up in Darke County and have been to the museum numerous times.
Suggest you contact them for any possible interest they may have in the gun, should you be interested in selling. As others have said, it is not a Parker, but may have some historical value to the Garst Museum.