The number at the top of the cream colored plate is a little blurry, but it looks like it could be a185K .
This site has a lot of good information on vintage Singers-
Singer Sewing Machine Model 185K, 185, 185J

Congrats on your new girl, she's pretty! Do you plan to sew with her? If you do there are a lot of great articles and videos out there about how to get them up and running, how to thread, and free manuals available.