Detective Fuff here...
Not may clues to work with, but only one S&W revolver meets the description. Thus the leading suspect is a
.38 Double Action Perfected Model.
It was the company's last attempt at a top-break design, and used a lot of the 1903 Hand Ejector's parts. It was unique in that to open the barrel you had to both push on a hand-ejector style thumbpiece while lifting a conventional barrel latch.
They were made between 1909 and 1920, within a serial number range running from 1 to 59,400.
The 5-shot cylinder was chambered in .38 S&W; barrel lengths of 3 1/4, 4, 5 and 6 inches were standard. Blue or nickel plate with color casehardened hammer and trigger. Stocks were black hard rubber, with checkered walnut or pearl being optional.
Late production patent dates ended with Sept. 14, 1909.
Can't offer an opinion on value without knowing if the revolver is still original, and in what condition. Pictures would be helpful.