Can mortgage interest and insurance be deducted on a rental home even if someone doesn't own another home and is renting too?

If you own the home in question (the title is in your name), you can deduct mortgage interest. If you are renting out the home, you can deduct some of the costs of having it as a rental, but I am not sure about the insurance. If you are renting the house only, without ownership, you may not deduct the interest.