I'm in the same boat. No family or friends nearby and it's only me & my husband. My friends live in other cities/countries. It's so frustrating during emergencies, I bring my baby with me no matter what. I'm hoping I meet another parent in the same position at a play group and we can help each other out. But it's still nerve wracking.
I'm going to be honest. I don't. I use family or friends. There isn't much family near me so when it's been that bad I've just had to be home with the kids through whatever reason. If it was a full emergency a friend has helped here or there