Those are flintlock pistol reproductions. In the displays at Yorktown and Williamsburg they also have many originals in first class condition. The flintlocks gradually replaced the matchlocks and Wheel-locks in Yorktown after 1650 and were improved until being replaced by percussion cap muzzle loaders in the 1830s and 40s. Those in the photo were of a style that stayed popular through the Revolution, the War of 1812, and the Alamo. The Alamo happened the same year Sam Colt patented his revolver.
If your relic has a lock of any kind left it is valuable unless it is a tossed reproduction.
America is a country of instant nostalgia proven by the reunion at The Little Big Horn only ten years after the battle. Forensic studies of empty brass cartridge case placement at such battlefields are thrown off by brass dropped from salute volleys and reenactments while the original type of head stamped brass cartridge case was still in existence.