I've had a break once, and it was both elbows. The doctors didn't think there was anything wrong as I wasn't in too much pain, I just couldn't straighten my arms. I saw them looking at the X rays and calling other people over to look, and suddenly they were taking me more seriously and gave me a bed rather than making me sit in the waiting area.
The technician who put my casts on said those magic words you never want to hear from a medical professional: "I've never done this before". Putting two arms in a cast with bent elbows is not a common procedure