A.J.
I have had wooping cough and it has a very distict cough sound. With each cough comes a huge gasp for air, as if you can't breath. Also, vomitting after or during coughing spells is quite normal. It doesn't sound like your daughter has it, especially if she has been vaccinated for pertusis (wooping cough). Definitely take her in asap if you are concerned because if it is wooping cough you have to have antibiotics within the first 2 weeks or they won't help and it has to run its course. Which for me was 8 of the most miserable months of my life. I highly recommend adults get the pertusis vaccine, now included in tetinus shots if you ask, because childhood vaccines aren't for life when it comes to pertusis!
Hope your daughter feels better soon:)