From the 1940 US Census, Mary L. Baer was born 1908 in SD. Her spouse was Ralph D. Baer. Ralph D. Baer was 38y and born in PA. In 1940, the couple was living in Pittsburg, Judicial Twp., 6, Contra Costa, California.
There are other Mary's born in the early 1900 in SD, but several have last names spelled Bear. Their middle names are Sleeping, Dreaming, and Bald Eagle.
Mary L. Baer seems the the most likely person you were asking about.