No product - chemical or natural or mayo or vodka or whatever - is going to kill ALL the lice on your head AND all the unhatched lice in the eggs
so you are going to have to apply any treatment at least twice, if not many times
and each time you are going to have to comb to get all the dead lice out
and you are probably going to get a few resistant ones and in a few weeks time you will all be crawling again.
The ONLY reliable way to get rid of all of the lice and unhatched lice on a head is to wet comb with conditioner and a good nit comb, very thoroughly, every 3 days for at least 2 weeks or continuing until all lice are gone (ie if you have missed a few on earlier combings and they have laid further eggs)
That means approx 5 good combing sessions in total to get rid of the whole lot, as opposed to 2 combing sessions and then the whole thing starting up again in a few weeks, with chemicals. Save yourself the hassle and just do decent combing every 3 days.