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Q:  

I am looking for estimates of the size of the 15-44 year old female population by state for a far back as I can get it. I am trying to construct fertility rates and have births back to 1930. Even if I can not get them back to 1930, getting them back to the late 1940s would be very helpful.

A:  

I think you can find what you want with the historical vital statistics volumes. NBER has all the volumes (so does NCHS but I can't find them easily):

http://www.nber.org/vital-stats-books/

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