Reviewing The Shape of Your Name for Exclaim!, Kaitlin Ruether described Cornfield's songwriting as "biting, lucid and nourished." Ruether praised "Storm Clouds", "Andrew" and "Up the Hill" for their "electricity and emotion", and concluded "The Shape of Your Name has an elegiac quality to it: there is plenty of mourning within these songs, but there are also rays of a bright future." Writing in Pitchfork, Joshua Copperman noted that the album focuses "on the patience and reflection required for relationships with others", praised Cornfield's delivery and songwriting as "authentically conversational", and concluded that the album "benefits from not trying to be a masterpiece. Instead, it stays small and approachable, a reward reserved for those paying attention." The Shape of Your Name was longlisted for the 2019 Polaris Music Prize and named by Exclaim! as the fifth-best folk or country album of 2019.
