Jones married actor Jack Cassidy on August 5, 1956, with whom she had three sons, Shaun, Patrick, and Ryan. David Cassidy, Jack's only child from his first marriage to actress Evelyn Ward, became her stepson. Divorcing Cassidy in 1974, she later married comic/actor Marty Ingels on November 13, 1977. Despite drastically different personalities and several separations (she filed, then withdrew, a divorce petition in 2002), they remain married.

Jones is a registered Republican who appeared at the 1988 Republican Convention and sang the National Anthem. She also sang at the 2003 lighting of the National Christmas Tree in Washington, D.C., at President George W. Bush's request.

Jones and her son Shaun Cassidy are the only mother and son to each have a song reach number one on the Billboard Charts. Jones hit #1 with The Partridges "I Think I Love You" in 1970 (sung with stepson David Cassidy). Shaun followed that in 1977 with "Da Do Ron Ron."