Please post a photo of your machine. Most Singer with round bobbins take a 15x1 needle. Parts can be had by googling for Singer parts or you could try Sew Classic. To find a similar sewing machine just look at the vintage thread on sewing machines. Many folks here have posted almost all the Singers on that thread.
A big help to us so that we can help you is just posting a photo of your machine-makes our work easier.