Davenport played for Independence High School in Columbus, Ohio, where she was named a WBCA All-American. She participated in the 2003 WBCA High School All-America Game where she scored eight points.
Davenport was a member of the United States women's national basketball team in 2005 and 2006, while at Ohio state, and in 2007 and 2008 while on the New York Liberty team. Davenport was the third leading scorer on the 2005 World University Games Team in Izmir, Turkey. She helped the team to a 7–0 record, and a gold medal at the event. Davenport joined the National team in 2006 for the 2006 Opals World Challenge. The team went 4–1. winning all games other than the final against Australia. Davenport was also part of the National team in 2007–08, participating on the Tour of Italy and the Australia Exhibition. The National team was 4–0 on the Tour of Italy and 2–0 at the Australia Exhibition.
Davenport was drafted second overall by the San Antonio Silver Stars in the 2007 WNBA Draft. Immediately thereafter, Davenport's rights were traded to the New York Liberty along with the Silver Stars' 2008 first round draft pick in exchange for guard Becky Hammon and the Liberty's second round pick in 2008. Within the Liberty's first five games, she developed a reputation as a consistent scorer and strong post presence.