Have you tried to find the marriage record for Irene Aurelia Gawel to Howard Blim? This occurred in the mid 1930's? Do you *think* you might know where it occurred?
This is the document you need to find to confirm the parentage found in the family book. It should have the mother's maiden name as well, something you need to continue your search back.
You're not going to find this document on the internet, most documentation still can't be found on the internet.
googling for how to find/obtain a vital record and the State you're researching in, will give you the info how to obtain this document. Every State has it's own set of criteria, some searches can be done state wide, some only by county. It usually requires some investment, but it have enough specific data, you can post on a locale board and see it someone might look it up for you. Have a look at the postings on the local (county) board and see how requests for look-ups are handled. There may be someone that pokes around the court house.