Wikipedia says otherwise:
Barbara Pierce [Bush] was born at Booth Memorial Hospital in Flushing, Queens, in New York City, and raised in the suburban town of Rye, New York.[1] She is the third child of Pauline (née Robinson; 1896–1949) and her husband Marvin Pierce (1893–1969), who later became president of McCall Corporation, the publisher of the popular women’s magazines Redbook and McCall’s. Her siblings include Martha Pierce Rafferty (1920–1999); James Pierce (1921–1993), and Scott Pierce (born 1930). Her ancestor Thomas Pierce, Jr., an early New England colonist, was also an ancestor of Franklin Pierce, the 14th president of the United States. She is the fourth cousin, four times removed, of Franklin Pierce and Henry Wadsworth Longfellow.[2]
Wikipedia doesnt mention Nellie & Frank Harris and their relationship with both Crowley and Pauline Pierce in the 1924 timeframe?
Pauline returned to America in early Oct 1924 and gave birth to Barbara on 8 June 1925.
Crowley may not be her father, but Pauline had kinky aquaintences that she most likely shared interest with.