Definitely looks like a Featherweight, but you really need to check the serial number on the base of the machine... on the bottom, straight back from the needle, number stamped into an oblong section. Then go to
http://www.singer-featherweight.com/, check your approximate birthdate, etc. If it's supposed to be 60 years old or so there should be some marks of wear and tear on its bed from all the fabric that's gone through. (unless someone REALLY didn't sew much)
That foot pedal looks slightly flatter than the original ones. Could just be the angle of the picture? The original foot pedals made of black Bakelite did have the two buttons, only one of which went up and down. Replacement foot pedals were made of medal and look much like a car's gas pedal.
That case is not original. There's virually no wear and tear on it.... Also, the originals were black inside and out and the clasps were totally different. They folded down to snap and had a round button to release them. They were silvery, not gold. And the carry handle was covered with black leather. Granted, the case may be a replacement because the original wore out.
Several years ago there were quite a few reproductions sold as Featherweights, for about $400. The ones from Japan were made from the original Singer molds (sold to them and re-cast), used high quality metal, and are excellent machines. Some very nasty reproductions came from India and were a mess.
How does it stitch? ....sound? How much does it weigh?