Um, no. Valentina was the first woman in space in 1963. However, the Russians didn't fly another woman in space for the next 20 years, not until we flew Sally Ride. We've flown a female astronaut almost every year since, they've flown one. The full count is: US, 45 female astronauts, Russia/SU: 3.

http://en.wikipedia.org/wiki/List_of_female_astronauts

To this day the Russians still have a superstition that flying with a woman is bad luck, and many of them refuse to fly with one.