Thank you to everyone for the suggestions!
Someone had mentioned going to the shop and sitting on a memory foam measurement contraption at the bike shop and I thought "I have a yoga mat that is pretty squishy maybe I'll use that to double check my earlier measurement attempt... Brilliant!"
So, I've come back with new measurements of about 160mm (boy, was I off) but I plan to stop by my local bike shop to use their measurement machine and take a look at some of the saddles you ladies recommended to me.