Formed by J.C. Cairns (guitar/vocals), Daniel Ellis (guitar/vocals), Naomi Griffin (bass/vocals), and Nathan Stephens-Griffin (drums/vocals) in the early 2010s, they released their self-titled debut EP in February 2012.

After releasing a split single with American artist Spoonboy (David Combs of The Max Levine Ensemble) Martha headed to the studio with MJ of Hookworms to record their first album.

They followed it with more split singles with American bands Benny "The Jet" Rodriguez and Radiator Hospital, a repeat visit to Indietracks and an appearance at Glastonbury Festival.

[16] In mid to late April and early May 2018 they, along with Bad Moves of Washington, D.C., supported Jeff Rosenstock for the Northeastern and Midwestern leg of his US tour.

On 17 April 2018 Martha, filling in last minute for Yo La Tengo, were the guest band on an episode of The Chris Gethard Show on truTV.

[17] On 13 December 2018 the band released single "Heart Is Healing"; announcing they had signed to Big Scary Monsters in the UK and EU and had a new album following soon.