[4] She is married to Steve Sutton,[5] himself a Silver Medalist in Men's Individual Accuracy at the XI World Parachuting Championships in the United States in 1972.

For many years, a collection of twenty limestone sculptures by the elder Cox, known as the Garden of the Greek Gods, were easily accessible to the general public including children at Exhibition Place in Toronto, Ontario.

However, when a nearby nightclub, Muzik, expanded around 2014, the sculptures were fenced in and no longer accessible to children as Kathy Sutton believed her father would have wanted.

Sutton expressed fears that the entire body of work has sustained permanent damage due to lack of proper care.

The collection was to be moved to the Rose Garden no later than the expiration of the nightclub operator's lease in 2024, but Sutton continued to press for a faster solution.