I have a feeling this may be tough to verify but I have found some very old Hertz advertisements that actually catered to women. Based on the look of the car, this may be in the early 60s (old Mercury Monterey?).
I did find this old article from 1953 that describes a car accident in which the woman rented the car.
http://select.nytimes.com/gst/abstract.html?res=F10712F83D5B107A93C6A8178DD85F478585F9
This old article describes a woman renting a car and driving to New York in 1941.
http://news.google.com/newspapers?id=QfcuAAAAIBAJ&sjid=s9sFAAAAIBAJ&pg=4963,607103&dq=first+woman+to+rent+a+car&hl=e
Finally, this ad from 1925 says any man or woman can rent a car from them and they'll teach them to drive in minutes.
http://pqasb.pqarchiver.com/chicagotribune/access/449055432.html?dids=449055432:449055432&FMT=CITE&FMTS=CITE:AI&type=historic&date=Apr+25%2C+1925&author=&pub=Chicago+Tribune&desc=Display+Ad+5+--+No+Title&pqatl=google
The car in the Hertz ad looks like a 1961 Chevy Impala.
Thanks. And here is a link to other ads, including a Hertz endorsement from Ester Williams in 1958. (Scroll down, bottom left for the most legible version.)
http://www.vintageadbrowser.com/search?q=Hertz&page=7
So, everything the Fulton County Board of Education posted was untrue. Q.E.D.