Welcome to Tnet.
I think I can see what you see as the name… and also perhaps ‘ALBANY’ in the inner ring.
This may or may not be relevant, but Gaylor Charles
Sheldon (1799-1875) married Sarah Marie
Slingerland (1804-1823) and they were resident in Albany, NY. They seem to have had one son: Alexander (1823-1886).
I’m not going to do all the work for you (LOL) but you can access Albany directories by year from 1813 onwards at the link below. After accessing each directory for the likely years when the company might have been in operation, if you type “slingerland” in the search box, you can check if it has any references to a company including that name. This might well be a supplier of woollen/cotton goods, a clothing manufacturer or a tailoring company rather than a button manufacturer.
https://www.albanypubliclibrary.org/wp-content/uploads/2021/10/Albany-City-Directories.pdf