He dedicated his Semigraphy to Mary Rich, Countess of Warwick, and in the preface he says: "It will be welcome, and especially to your Ladyship, because you have spent some houres in the knowledge thereof when I was in the family", probably therefore as a tutor.
In 1646 Rich was living "in St. Olives parish in Southwark, at one Mris Williams, a midwife", and in 1659 he occupied a house called the Golden Ball in Swithin's Lane, near London Stone.
The first work issued by Rich was Semography, or Short and Swift Writing, being the most easiest, exactest, and speediest Method of all others that have beene yet Extant.
Rich, however, makes no allusion to his uncle Cartwright in the next book he published only four years later, under the title of Charactery, or a most easie and exact Method of Short and Swift Writing.
Among Rich's editors or "improvers" were William Addy, Samuel Botley, Nathaniel Stringer, and Philip Doddridge, who made the study of the system obligatory in his dissenting academy at Northampton.