Somebody owns that road and it may be you
Private roads and shared easements are maintained by the owners they serve, and liability for their condition follows the same logic. An injury or a collision caused by the state of the road can produce a claim against the people responsible for it, which in a shared arrangement means several households at once.
A written maintenance agreement is worth having
Where several properties share access, a road maintenance agreement sets out who pays for what and who is responsible. Many shared roads have none, which means the question gets answered after an incident rather than before it.
Personal liability may or may not reach it
Whether your policy covers an easement that is not part of your described premises is a specific question. An umbrella above it inherits whatever the underlying answer is, so both layers need checking against how the access is actually held.