According to Laura Wagner, author of a full-length article on June in "Films of the Golden Age," June developed a huge crush on James Cagney while filming her best film Ceiling Zero (1936) but he never knew it. The movie also remained her favorite.
Daughter of Harry M. Grabiner who was vice president of the Cleveland Indians and a former vice president of the Chicago White Sox.
Nominated for the Sarah Siddons award for her stage performance in "Life with Father", she later co-chaired the Sarah Siddons Award gala in 2002, the year Chita Rivera was honored for her performance in "The Visit" and has been active in theater fundraisers.