Thanks Paula. I shouldn't do this when I'm tired.
In my experience, the birth year may vary when someone changes their age / birth year, but the month and day usually stay the same. I could not find her using the month and day, but it's something to keep in mind as you search.
I could not find a marriage or other records for a Joseph Patrick CONWAY and a Mary BEEDE. I'll keep looking.
I will also look for Jacksonville, FL, area city directories and school yearbooks around 1940-1943 to find CONWAY families or perhaps Jean Ann in a yearbook.
btw: did she always go by "Jean Ann"? Or just by Jean?