Hi, Katelyn's Mom!
Your DD sounds like an amazing little girl

Have you read
Ruf Estimates of Levels of Giftedness ?
A great place for information on testing is the
Hoagies' Gifted Eduction PageThere are IQ tests for two-year-olds:
Wechsler Preschool and Primary Scale of Intelligence� � Third Edition (WPPSI� � III) (2yrs. 6mos.)
and
Stanford-Binet Intelligence Scales (SB5), Fifth Edition (2yrs.)
These would be administered by a psychologist. You should be able to get a referral from your pediatrician. Most people wait until kids are a little older (4-6?) since two-year-olds are not known for being cooperative

But if your daughter has the right temperment, it may be fine to test her earlier. The version of the WPPSI-III for age 2:6 is shorter than the full version, so you wouldn't get as much information about her abilities as you would if you waited a couple of years. I don't know much about the SB5.