Someone fell at my house and got hurt. Am I responsible for their injuries?
That question is more complicated than it appears. The first advice I would give you is to notify your homeowner’s insurance company and advise them of the incident. If you have insurance coverage on your home the insurance company will investigate the incident for you and hire a lawyer (at its expense) if it becomes necessary.
As I said above, the answer to your question is complicated and depends on the facts. Generally speaking, you are responsible for the injuries only if you created the hazard that caused the injuries or if you knew or should have known about the hazard and did not timely repair it or effectively warn of it.
Your insurance company should be able to walk you through all of it and tell you if you are likely to be held responsible for what happened.