Hello eggcream,
well, as no one else has replied.

Ketosis begins in earnest when the stores of glycogen and glucose are almost depleted, so consuming hemp and cocunut oils to bring this on more quickly is an old wives tale as it were.

Vomiting and BM's can occur to anyone at any stage of a fast and where the former is considered to be a crisis of sorts. Vomiting usually lasts not more than a day or two and where much mucus and bile are thrown out. It is a cleaning-out process.

Shelton comments that he does not regard vomiting as a danger signal, but as a cleansing process.
AND............
"As vomiting is merely part of the elimination that fasting encourages, most often due to overactivity of the liver with regurgitation of bile into the stomach, it needs only to be let alone. It may develop early or late in the fast, but it constitutes no danger, so far as my own experience and observations go".
Efforts to break a fast while the patient is vomiting are futile, even harmful. "Only God could break a fast," wrote Dr. Dewey, in a personal letter to Hereward Carrington, dated March 26, 1903, "where there is a sick stomach and there is no time to let nature perform the task".
http://www.soilandhealth.org/02/0201hyglibcat/020127shelton.III/020127.ch28.htm


The trembling you speak of is the result of nervous prostration/exhaustion caused by the energy needed by the body to vomit, but should pass in a short while if you rest: but you MUST rest.

The oils were of no benefit for the fast, and indeed may have contributed to the cause of your vomiting by stimulating the Liver and Gallbladder in releasing more bile: the usual constituent of vomit on a fast.
You should really have "ridden it out" as breaking a fast under these circumstances can be decidedly harmful and sometimes has been known to be fatal.
Please please take advice before deciding to break a fast.

Chrisb1.