I'd like to know the birthdate of Tea Carpenter (not sure of spelling
of first name). She is now about 21 years old and is the daughter of
James F. Carpenter the glass sculptor (who did #7 World Trade Center)
and his wife Toshiko Mori, who is the chair of the department of
architecture at Harvard University.

I doubt that this person would be considered a public figure. Google
Answers Researchers are not permitted to post personal information
about private individuals.

Tea Carpenter just graduated from Brown University as an undergraduate
majoring in philosophy.

Is this person considered a celebrity? As I mentioned above, we are
not allowed to post personal details (including birthdates and contact
information) of private individuals.

You are probably correct; her parents are public figures.