Pregnancy and Travel: Toddler

Flying in Third Trimester

I am wondering if anyone has an experience with flying in the third trimester. My sister died yesterday and I can't imagine not going to her funeral to be with my family. I am 35 weeks now, I might be 36 weeks on the return flight. I have heard airlines won't allow you to fly after 36 weeks even with a doctor's note? My pregnancy is going fine and there are no complications.