The back of the button is corroded pretty bad. So I took photos of it from the inside and reversed them to read. It says Kendrick & Co. But I couldn't make out the rest of what it said.
It may be "Ives Kendrick & Co" that dates it to the 1830s. Is that a two piece button? If so it would be closer to 1840 and is probably one of the earliest two piece buttons I have seen.It is a civilian button and looks to be enameled and gold gilt.