In 2000 she won the U.S. Women's Chess Championship jointly with Elina Groberman. Since Baginskaite won against Groberman in the playoff by 2-0, she qualified for the Women's World Chess Championship 2001 in Moscow, where she reached the last sixteen. This was, at the time, the best result for a female U.S. chess player since the Championship was founded in 1927. She was defeated by Xu Yuhua in a tiebreak. Baginskaite competed in the Women's World Championship also in 2010 and 2015.