I am having trouble locating a reliable birth record for a person in my tree. According to the 1900 census record, a certain Mollie Goetz/Getz was born in Feb 1881 in Illinois.
"United States Census, 1900," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MS3V-BWZ : accessed 10 Oct 2012), Mollie Getz in household of Julius Mildner, ED 434 Precinct 17 Chicago city Ward 14, Cook, Illinois, United States; citing sheet 2B, family 32, NARA microfilm publication T623, FHL microfilm 1240262.
Her parents were married in Van Buren, Michigan on 18 May 1880.
(In the census she is shown as a niece of Julius Mildner; I have from other sources that Julius's wife Helen was a sister of Natalie Falkenstein.)
However, I have not been able to find a reliable birth record for Mollie either in Michigan or in Illinois. Obviously, I don't have a 1890 census to check where the family was at the time, but a person matching the name and occupation of the 1900 census entry (Henry Goetz, cutter) is listed in the 1882 Chicago city directory on Ancestry.com.
I have checked the Illinois birth index and the Michigan birth index, both of which cover the right date range, and found nothing probable. I have tried all sorts of variations of spelling for the Goetz name and for Mollie, and tried searching on dates alone. Nothing comes up.
What should I try next?