Could you double check the spelling for the areas you mentioned. Could they be in Alameda County, California? Also do you have the names of the parents for Betty Louise?
Are you aware of other variations for the spelling of Doering being Dorring, Doring, Dohring? I did a search for a Joseph Trousdale b. 1901 and located a fellow by same name born in 1905 who is now deceased but might have been in Alameda Area of California. Do you think this person lived in Central California in a farming area? I can see some possible connections but need more information as to location and family members.