If I hit a car parked in my driveway while backing out would the owner of the car submit a claim to my car insurance or my homeowners insurance since it took place on my property?

HI, Working in a car insurance company, you would claim off your car insurance as the vehicle was involved in the accident, however because it was on your own personal property you may be able to claim off your house insurance depending on the terms of your policy, you will find most homeowners insurance only covers the house itself and not the surrounding gardens