This happened to my husband and he had to sit next to her, and she started this before the plane left, in other words, she got on board sick.
He had to sit there and endure it.
We considered burning his clothes.....who knew what was wrong this this passenger?
It was horrible.
For that matter, adults on a plane have any number of options to counter a screaming child...
..earphones, earplugs, watch the movie, read a book...
..the parent is the one who has to contend with the child.
But there is no recourse if someone next to you is continuously throwing up and the steardess says 'sorry'....and you are a captive during the entire flight!
Yuck.
I HATE vomiting. It's a phobia with me.
There is NOTHING I would hate more than what your husband went through! (Oops, except actually getting vomited ON, which happened to my husband as a child.)