Her parents were Mary Gray Morison and Sir Robert Kirk Inches, who was a master goldsmith, and Lord Provost of Edinburgh 1912-16.

[1] Prior to commencing her own political career, Millar assisted her father in his duties as Lord Provost.

This included work for the Lord Provost's Comfort Fund for troops in the First World War.

[1] In 1919 she ran for Edinburgh Council in the Morningside Ward by-election, and became the first female councillor in a Scottish city in January 1919.

[2] In her campaign, she argued ''that Edinburgh faced a number of problems, towards ‘the solution of which’ women could ‘render valuable service’ ''.