Yes. This is correct. Jane's mother was Ruth Gertrude Reinert. I did find an obituary for her a while back but I'll have to dig to find it again!
I have not encountered an obituary for Jane so far.
I'm a little surprised that we cannot find an obit for Jane.
Also, there is so very little about her mother. I've even tried to find a lead regarding her mother being a visiting scholar at Radcliffe, but so far... nothing.
It's likely her brother is still living, and maybe other siblings as well.
Maybe macoldcase will soon return AND hopefully shed more light on the case!!