My baby girl has a red spot on Her white of her eye. I am worried as to what it could be. Also, after every letter I type on here the cursor moves.

That could be a. broken blood vessel from delivery, depending on the age of your baby. If it seems painful, it could also be that she poked her eye with her nail, or someone else's. I would still recommend that you have her doctor examine her and he/she will be able to tell you for sure.
Red spot on eye. Generally red spots on the white of the eye are small hemorrhages that tend to occur during birth or with strong coughing or occasionally vomiting. They are painless and of no concern but should go away within 2 weeks or so.