Since you have a birthdate and location for Lorraine, you can probably get a birth certificate from the state of Oklahoma.
Also, do you remember the location for the funeral of Claude (Clyde)? Ask about funeral homes in that town, check the newspaper obituaries for those years in that town.The local library in that area may be able to help you locate information about this family. If you know the approximate date, you can request a certificate of death from the State which will give you information about his mother and father and their places of birth.
There is a Claude Adams in my family tree but he was born in the early 1900's, notthe 1860's or 1870's.
Are you sure Lorraine's name is spelled that way.I've seen it spelled several different ways.
If you can find Annie's last address in California, you can check public records to locate information about her....even a death certificate.