My Grandmother was like this last pregnancy. I had went into early labor at 34 weeks, they were able to stop it. So they took me out of work for the remainder. Where I lived, I lived with my mother, H, Mother's husband and 7 year old little brother. Upstairs in the apartment above us was my oldest brother, his wife and 2 daughters. My H worked in town,mother worked abut 15 minutes away, SIL about 10. Being home alone was okay because I was in the middle of a town, in which I knew all the EMT and Fire Department staff.
Well my Grandmother did not want me to be "alone". She lives over 3 hours away, but came up staying for weeks at a time. Just so I would not be alone.She stayed for 2 weeks at first, than went home, and came back a day later!! Then stayed another week and 4 days. When she went home I was so relieved. Her thing to me was that I had time now, so she would be back in a week. I think DS1 realized how much she was stressing me out. He came 2 days after she left. I understood that she was just worried, as I think your famioly is. It's jsut so nerve racking sometime to have someone there at all times waiting for anything to be a sign that you need to go at that very moment.