The ancient Greeks got in there first. The playright Aeschylus, in Seven Against Thebes, 467 B.C., wrote:
Moving into sources written in English, we find Thomas Fuller’s Gnomologia: Adagies and Proverbs, 1732:"Let women stay at home and hold their peace."
In 1832, The New Sporting Magazine, Volume 3, included the earliest example of 'a woman's place is in the home' that I can find in print:"A Woman is to be from her House three times: when she is Christened, Married and Buried."
Times change and with them our proverbs. In November 1970, Time magazine printed a piece titled Newcomers in the House. Bella Abzug campaigned for office in the US Congress using the slogan "This woman’s place is in the House... the House of Representatives.""A woman's place is her own home, and not her husband's countinghouse."