Dawn,
I have your machines twin, only it's badged as a SEWMOR 404.
It is a combo of the Singer Mdls 66 and 15. The motor mount, the cord block, and the light in the kit you linked to should work.
Your light and the one on my machine are mounted the same, with a big disc held by the thumb screw at the top. Under the big shiny cover on the back of the machine that covers the light is a slot with a threaded hole just for that light bracket in the kit.
Mine actually has a chrome plated screw in it even though it has the other type of light mount.
If there is any confusion about the belt, mine takes the Alphasew 1514 belt:
http://www.shop.sew-classic.com/Belt...14-SCB1514.htm
All the screws on my machine are Singer thread, so that should be no problem.
If you haven't already done so, you'll need to order a spool pin:
http://www.shop.sew-classic.com/Spoo...ndard-YA-1.htm
I have redone several of these machines using the parts from Sew-Classic. If you have any real specific questions feel free to PM or email me. Altho from what you have written I'm pretty sure you have a handle on things.
Joe