Welcome. I think if you look at post #4
Kenmore date of production that Rodney realized that it was a 158.xxxx and yes the ID list does not list a 158.1561. Perhaps your machine was made after 1980 Kenmore's numbering system leaves a lot to be desired. I did find a manual at
https://www.searspartsdirect.com/man...-machine-parts which includes similar machines and are not listed in the ID pdf. It looks like they are all low shank machines.
There is a Facebook group for vintage Kenmore sewing machines. I am not a member, but perhaps someone there may have better information.
https://www.facebook.com/groups/680558488716580/