Sorry, I was posting from my phone earlier and it's difficult to formulate a helpful post.
This web page will let you look up these old Singers by their serial number.
http://ismacs.net/singer_sewing_mach...-database.html
Yours is at the bottom of this page where they start the 7 digit serial numbers that begin with 0.
http://ismacs.net/singer_sewing_mach...l-numbers.html