Poor Pewter(?) flat button found on the riverbank.

[PetesPockets55]

I got to a local riverbank today and managed to find my second button ever, which may be pewter. Not any kind of fantastic find but one I'm keen to lear more about if possible.

There is a fort nearby that dates to the 1839-1842 range (Second Seminole War) but I'm pretty sure the button isn't military related.

There is a fancy, flowing script capital "T" (I think) with a "star within an oval circle" below. The back is toast but there is a remnant of a broken loop.

I'm not very familiar with fancy script and was hoping someone here can confirm the "T" as well as whether the "star within an oval circle" helps in any way.

(I've also included a sketch I made showing the overall design as best I can see in hand.)
The last image is what I think is upside down but the star seems to be aligned properly.

 

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[PetesPockets55]

I didn't realize the front button image of my button came out upside down.

Here's another one for posterity.
Hopefully, this one comes out correctly.

Also, the pewter held up pretty well for it being in a brackish environment for the past 180+ years

 

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[Hunter1805]

This a war of 1812 button I = Infantry, I have found many some with starts and some with number ... Wor or 1812