re David Ingerson's 2009 comment, in recent years I have come across Suffragists used a general term for people in favour of extending the vote (and in particular, to giving women the right to vote), with Suffragettes being used to describe those protesters who were willing to use more extreme methods of protest such as smashing windows.

The song and phrase Bread and Roses doesn't refer to voting rights but to workers' rights. But here is a link between the two, in reference to Rose Schneiderman (who spoke publically of women needing both bread and roses): " ... in 1907, at the First Convention of Women Trade Unionists, Schneiderman argued that the political enfranchisement of women was necessary to address their poor working conditions. Accordingly, she helped expand the women's suffrage movement – which was primarily associated with middle-class women – to include working-class women, especially factory workers, and to incorporate the issues they faced.
... ... In 1912, on behalf of the National Woman Suffrage Association (NWSA), she traveled throughout Ohio's industrial cities, giving lectures to working men to garner support for a state suffrage referendum. To win men's support, she emphasized how beneficial the enfranchisement of working women would be for labor issues. As she later explained, 'My argument to them was that if their wives and daughters were enfranchised, labor would be able to influence legislation enormously.' " Schneiderman, Rose (1967). All for One. New York: P.S. Eriksson. p. 122, cited in Wikipedia article https://en.wikipedia.org/wiki/Rose_Schneiderman (accessed 2 May 2023)

Schneiderman's words tie in nicely with the Bread and Roses' line "As we come marching, marching, We battle too for men"