Anne is the daughter of Leroy H. Jenkins and Mary E. Jackson.[1] Her father was a dentist and her mother was originally from Wilson, North Carolina, which was a town of strict segregation, but also was said to be "the bright leaf tobacco market for the East".[3]
On September 28, 1979, Thompson was nominated by President Jimmy Carter to a new seat on the United States District Court for the District of New Jersey created by 92 Stat. 1629. She was confirmed by the United States Senate on October 31, 1979, and received her commission on November 2, 1979. Judge Thompson was the first woman to serve as a federal district court judge in the state of New Jersey.[citation needed] She was also the first African American federal judge to serve in the state of New Jersey.[citation needed] She served as Chief Judge from 1994 to 2001, and assumed senior status on June 1, 2001.[4]