That seems more likely...
The second revolver is a Smith & Wesson ,38 Safety Hammerless (aka "New Departure") 2nd Model. These were made between 1887 and 1890, within a serial number range running from 5,251 to 42,483.
Standard barrel lengths were 3 1/2, 4 and 5 inches. Cataloged finishes were blue or nickel plated with blued trigger guard. Triggers were color case-hardened. Standard stocks were black hard-rubber, but mother-of-pearl was an extra cost option. Going price in the condition you describe is $350 give or take.
Given this guns history within your family, I suggest that you get them "lettered." To do so you will need a snapshot of each gun, a full description including the serial number on the butt, and a check in the amount of $50.00 ($100.00 for 2 revolvers) made out to Smith & Wesson. In exchange the company's historian, Roy G. Jinks, will research the original records (which are not computerized by the way) and send you a letter containing the details of what he finds.
This comprehensive document will contain an overview of the model’s history, followed by the details of your particular gun. This usually includes the caliber, barrel length, finish, and the exact date it was shipped from the factory, and to what distributor or dealer. If there are any special features they will be listed too. This information is often invaluable to both you and future generations. Should you decide to sell either gun you can easily recover the cost of the letter(s).
Additional information on a historical letter will be found at the Smith & Wesson company website at:
http://www.smith-wesson.com/webapp/...catalogId=11101&content=25301§ionId=10504