put the machine up. dust it off and look right below the singer badge for a long number. or there could be an other tag with a short number under that badge or it could in directly behind. but the same position .
if it a Black machine, all your telling us is that it's singer and in a cabinet, singer made alot of machines in the 160+ yrs
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can you post a picture ? or use google and start off using the brand name and color.