Anna was born in Glasgow, on 4 October 1881, to Margaret Ann MacVean, and Evan Macdonald Munro, a school master; following her mother's death in 1892 the family moved to Dunfermline. She became involved with the Wesleyan Methodist Sisters of the People in London working with the poor. She then joined the Women's Social and Political Union and founded a branch in Dunfermline in 1906. She was briefly imprisoned in 1908 for her protesting, and participated in the protests around the 1911 Census, which the suffragettes boycotted. She married Sidney Ashman in 1913, and though she legally took the surname Munro-Ashman she was still known as Anna Munro in her work, and she continued to be active working for women's rights throughout her life. She was also a socialist and temperance campaigner. On 11 September 1962, she died in Padworth, Berkshire.