Is the homeowner liable for an injury to a guest if the guest is injured on the homeowners property but by an object that is not the homeowner's?

No, You are not automatically liable for an injury that occurs on your property simply because you own the property.

It does not matter if you owned an object or not on which they person was injured.

In order to be held liable you would have to have caused the injury either through direct action or in-action that led to the injury.