- She made guest appearances in both The Twilight Zone (1959) and The Twilight Zone (1985).
- She was a close comrade of musician Dave Brubeck and his wife; so much in fact, that they were all buried beside one another in the same cemetery so they could be together in death same as in life.
- Among Barbara's plays, one can mention: Peter Pan (in 1950, where she inherited Jean Arthur's role), Camino Real (in 1953, by Tennessee Williams, under the direction of Elia Kazan), I Am a Camera (where she took over the main role when its creator, Julie Harris, left), Bus Stop, The Dark at the Top of the Stairs, The Three Sisters, The Misanthrope, The Merchant of Venice, Measure for Measure, Plaza Suite, The Flowering Peach (directed by Martin Ritt).
- Described by Marlon Brando as a "jewel-encrusted grudge collector.".
- Was nominated for Broadway's 1961 Tony Award as best actress (dramatic) for Period of Adjustment.
- She is buried at Umpawaug Cemetery in Redding, Connecticut.
- On June 15, 2020, she was honored with a Sketch of the Day caricature on the website Star Portraits.
- Was close friends with playwright William Inge. Her papers in the New York Public Library document their relationship.
- From the late 1970s to mid-1980s, she sat on the board of directors for the luxury department store chain Nordstrom serving as both a fashion consultant and spokeswoman.
- On June 4, 2020, the website Fine Art America released two water-colored paintings of Miss Baxley by artist John Springfield with a selling price of $19 a piece.
- She was a cousin of fellow character actor and professional stuntman Paul Baxley.
- In honor of her 100th birthday on January 1, 2023, her name was cited first and foremost in nationwide "Born on This Day" mention columns.
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