thanks for sharing a piece of yesteryear...
i can see why families don't want tops--especially if they don't sew---they don't know how to finish them!!
they are truly lovely & i'm sure they are now with the right caretaker! lots of work ahead of you, but the quilting will certainly improve & stabilize them..
as to them being wonky & not laying flat--
if they've been rolled up/folded for 20-30 years, it may be a good idea to lay or hang them out for a period of time so that they may straighten out--[sort of like if you hang clothing long enough the wrinkles come out...] JMHO