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.
"Michigan, Marriages, 1822-1995," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/FZMM-HZD : accessed 10 Oct 2012), Henry Gotz and Nattalia Falkensbein, 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?