[10] Cheesman won the Halls Medal for the best and fairest player in the South Australian state league on three occasions; 1974, 1977 and 1978.
[11] In 1985, Cheesman was named the most valuable player of the Women's Basketball Conference playing for the Canberra Capitals.
[13] In the 1989 Queen's Birthday Honours, Cheesman was appointed a Member of the Order of Australia for her contribution to basketball.
[15] In 2003, Basketball Australia introduced an annual Fair Play Award to all Australian Junior Championships.
[16] Although Cheesman was not involved in any international medal winning teams, she was described a very important figure in the development of Australian women's basketball.