李红 is an extremely common modern Chinese name - 红 (red) was a popular given-name character for women born during the Mao era, evoking revolutionary red.
mistakes
Not to be confused with 李弘, a Tang crown prince (652-675) and the eldest son of 武则天. The two names sound the same, but the prince's is written with 弘 (great), not 红 (red).