I have a S&W Model 1 1/2 First Issue and the inscription on the top of the barrel reads: “Smith & Wesson Springfield Mass
Pat’d Apr 3, 1855 & July 5, 1859”
In most of the listing that I have seen for this model the inscription shows the first date as "Apr 3, 1859".
Your First Model 1 1/2 has the correct barrel address for a revolver manufactured prior to serial number 15,304. Between serial numbers 15,304 and 15,653 there was the patent date "Nov. 21, 1865" added. Neal and Jinks; revised 1975