That's a VERY unusual "naval motif" button, for three reasons:
1-Nobody here has yet found a match for it in any button-book or Historical Buttons website.
2- It resembles a 1780s-to-1820s British or US Navy button... but those from that time-period are all 1-piece buttons. This button is clearly a 2-piece button (hollow front crimped over a separate back)... and THAT type of construction means it dates from no earlier than approximately 1830.
3: Your button's backmark says SUPERFIN PARIS in "plain block" lettering. According to the best book on time-dating button backmarks, "American Military Button Makers And Dealers; Their Backmarks & Dates", that exact backmark was used by US button manufacturers Scovill and the Steele-&-Johnson company. It meant "Paris Quality." It is found on civil war era US and Confederate military buttons.
Let me go back to reason #2, the backmark being written in "plain block" lettering. The backmark-dating book, cited above, lists only three backmarks in plain block lettering at the time of the civil war (SUPERFIN PARIS is one of the three). Plain block lettering in backmarks is very rare until the late-1800s, and it pretty much became the standard style in the 20th Century. Although the logo on your button's front has characteristics of late-1700s-to-very-early-1800s Navy buttons (such as the anchor being inside an oval), I do not believe the backmark on your button dates it to the 1820s or earlier.
It cannot be a British Royal navy button, because on those a crown was added above the anchor in 1812.
