The time period for both Sophie's appears to be about correct.
The only documentation I found on Sophie was on her Father's death certificate. The certificate listed his children and a little note on each one.
For Sophie, there was a mention she married a fellow by the name of Weber. This Mai family were from the Lohmen, Saxony area (close to Dresden) and I notice your Sophie was married around Frankfurt.
I know people re-married and moved around but I am not sure if we can tie the 2 Sophie's as being the same.