I am sorry for this miserable night you spent.
If you have Andreas' Moritz book - the amazing liver cleance - you will read that the same happened to Andreas one night. This only for information.
I did 20 LF's so far and think I am pretty stone free. I never had any feeling of vomiting. However, there is one flushing secret I consider of utmost importance.
The key word is RELAXATION; RELAXATION, RELAXTATION before each cleance.
I achieved this being relaxed by taking a hot bath between ES 1 and ES 2 using ordinary baking soda. Then I went so bed and further relaxed.
Furthermore, Telman recommended once adding some ginger to the oil potion in order to calm down the stomach. Try this.
My gut feeling is: You are still full of stones and close to a major breakthrough. Now there is the moment you walk through a trough but don't give up. I remember that I was close to throwing the towel because of a horrendous swelling of my face and my hands after flush no. 10.
Furthermore take some olive oil and lemon juice first thing in the morning. See what happens.