Anne was the daughter of Christopher Peyton but her mother is unknown. The date and place of her birth have not been found.
She had two marriages/partners. Her first husband was sir Henry Colley. They were married, but the date and place have not been found. Their two known children were Dudley (c1621-1674) and William (1623-?).
Her second husband was sir Richard Cooke. They were married, but the date and place have not been found. They had no known children.