She also served on the board of what was to become Blodgett Home for Children. Bissell's husband was Melville Reuben Bissell. They had five children, Anna Dotelle Bissell (b. 1868), Lillie May Bissell (b. 1871), Melville Reuben Bissell (b. 1882), Harvey Bissell (1885), and Irving Joy Bissell (b. 1888). In 1889, Bissell's husband died from pneumonia. On November 8, 1934, Bissell died in Grand Rapids, Michigan. Bissell is buried in Oakhill Cemetery in Grand Rapids, Michigan. In July 2016 a seven-foot (2.1 m) statue of Bissell was unveiled; it is located outside the DeVos Place Grand Gallery in Grand Rapids, Michigan. The bronze statue with "Anna Bissell (1846-1934)" was designed by Ann Hirsch. It was funded by the Peter Secchia family. Bissell's home known as the Bissell House in Grand Rapids, Michigan no longer exists, however, its site is now occupied by NBC television affiliate station WOOD-TV.