It's a Singer 66 Redeye. Not sure about any other info. I have the same machine and cabinet but mine is from around 1923.
btw it looks like yours is in excellent condition. Mine is dirty and not really faded but I need to replace a couple of parts. My cabinet is half refinished. The previous owners stained it a super dark brown, almost black, color. It was free though so I didn't complain. lol