[2] The novel was also adapted for the theatre by Rona Munro as a one-woman show, with an acclaimed 2018 London production starting Laura Linney which transferred to New York in January 2020.

Critical reception for My Name Is Lucy Barton was positive and the work received praise from the Washington Post and the AV Club.

[7][8] The Guardian compared the book favorably to Strout's earlier book, Olive Kitteridge, saying it "confirms Strout as a powerful storyteller immersed in the nuances of human relationships, weaving family tapestries with compassion, wisdom and insight.

"[9] In a review with the New York Times, author Claire Messud praised the book's "beautifully too-human characters" and also drew favorable comparisons to Strout's earlier work.

[12] Writing for The New Yorker, Alexandra Schwartz described how, "Strout’s language, deftly adapted for the stage by Rona Munro, is simple in the way of a coiled pot or a Shaker chair, a solid, unfussy construction whose elegance lies in its polished unity, and Linney, radiating warmth and lucidity, is just the right actor to bring it to life.