I GOT IT!!
My sister delivered my mom's old sewing machine, the same one that I learned on many, many, many years ago.
Not my machine but same model.
It is a Kenmore 1560, Model No. 148.15600 and according to this handy machine dating chart, was produced by Sears, Roebuck and Co. in 1976-78.
The sewing machine, which has been in a basement for more than 10 years needs quite a bit of loving care. The metal handles on the now-yellowing plastic carrying case are incredibly rusted and the machine inside is filthy with dust, probably accumulated because this type of machine had to be oiled regularly. I will have to clean this machine thoroughly (and it's case) before I can use it. With all the things I have on my plate right now, that will not be any time soon. However...
I am so glad to know it is still in the family!