[4][5] Joachim was militant and a member of the hard line Women's Social and Political Union which was led by Emmeline Pankhurst, becoming involved in 1907.

In an imaginative protest organised with Katherine Douglas Smith, Joachim held up traffic in the West End by the two riding black bay horses up the Strand, at the same time advertising a suffragette meeting at the Royal Albert Hall.

[14] Alongside a number of other WSPU members, in 1913 Joachim moved away from the organisation and radical action as violent protest escalated to arson.

She moved her energies towards the socialist East London Federation of Suffragettes, which offered practical support to working-class women alongside campaigning for the vote.

Joachim ran an unemployment bureau and managed a toy factory for the East London Federation of Suffragettes during the First World War.

[5] On her death Joachim left legacies to fellow suffragettes Sylvia Pankhurst and Katherine Douglas-Smith as well as Girton College.

[20] Glasgow Women's Library set up a fundraising campaign to buy it, raising £28,000 from c.500 individual donations with the rest of the purchase price supported by the Scottish Government's National Fund for Acquisitions.