Second Brick Wall

There is one other Brick Wall in the direct family line. I can not find my Grandfather's birth certificate. William Joseph Carl Sodeman was born on 22 June 1883 and we assume in Toledo, Ohio. We assume because that is where his parents lived. His mother-in-law however lived in Ida, Michigan just up the road. Could Albertine have gone up there to have the baby? A search for the birth record in Ohio and Michigan yielded no results. The family record, WWI draft record and Census documents confirm the birth date. A trip to the Probate Records in Lucas yielded no record. His sister Julia was born in 1881 and she shows up on the birth index. The next step is to search the birth index using many variants of Sodemann and hope that yields a record but with the wrong spelling. Common Sodemann spelling encountered in genealogy family research include Loderman, Sothermann, Saderman, and Sodinan. Probably born at home it maybe they never recorded the birth and he never needed one later in life. While Julia is in the index the birth certificate was done many years later.