really she's Betty Goldstein, commie
Lied about what? About her political past? No, not really. She "lied" in describing the daily situation of suburban women in 1950s America by implying that she herself fully lived that experience herself. True, she hadn't fully lived it (she had a maid, and was so politically busy that she wasn't the primary tender of her and her husband Carl's home) but when the conservative attack on her, in Betty Friedan and the Making of the Feminine Mystique, was published, the term "lie" was used all over the place but when you actually read the book you realize it's based on an interpretation (an arguable one, to be sure) of her book's thesis.
There's probably not an attack on civil-rights liberalism much more powerful than anti-feminist anticommunism.
Here are the opening paragraphs of David Horowitz' 1999 review of the book about Friedan by Daniel Horowitz (no relation):
Why has this feminist icon continued to cover up her years as a party activist? What is it with progressives? Why do they feel the need to lie so relentlessly about who they are? Recently Rigoberta Mench's autobiography was exposed as a complete hoax. Now it's Betty Friedan's turn to be revealed as a feminist fibber.
In a new book, "Betty Friedan and the Making of the Feminine Mystique", Smith College professor Daniel Horowitz (no relation) establishes beyond doubt that the woman who has always presented herself as a typical suburban housewife until she began work on her groundbreaking book was in fact nothing of the kind. In fact, under her maiden name, Betty Goldstein, she was a political activist and professional propagandist for the Communist left for a quarter of a century before the publication of "The Feminist Mystique" launched the modern women's movement.
And here's the rest of the review.