Yes, all female birds have the potential to lay eggs even without the presence of a male. Not all female parrots lay eggs in captivity, but the potential is always there. I believe this is around 3 years old. As for keeping her hydrated, I suggest making juicy fruit available for her in the car. Oranges and grapes are the best for travel.
Fruit offers a portable way to supply liquid.
You could also supply a water bottle for the ride, but make sure that she knows how to use it. I believe this is around 3 years old. As for keeping her hydrated, I suggest making juicy fruit available for her in the car. Oranges and grapes are the best for travel. Fruit offers a portable way to supply liquid.