there are plenty of online stuff about soap making.
Cold Process Soap has an excess of glycerine in which makes it nice, it is removed from commercial soap

20% coconut oil
40% hard oils
40% liquid oils
Sodium Hydroxide (NaOH) (work out per recipie)
(the above adds up to 100%)
water 
¬5% supper-fatting oil and including 1-3% essential oil

(125g) 20% coconut oil
(250g) 40% beef dripping (beef dripping is cheap palm oil has issues)
(250g) sunflower oil
NaOH (Sodium Hydroxide) (70.84g) I would go for 70g
water 

30g hemp oil - nice on skin

get ppl kitted up sodium hydroxide isn't nice safety glasses and  gloves
dissolve correct amount of NaOH in water, wait until clear
melt hard oils, double boiler
add liquid oils
add water and Sodium Hydroxide  to oils
mix with blender until trace
add super-fatting oils and essential oils 
blend and bit more

put in moulds (you can wrap in towels)
take out and cut up when hard (about a day)
leave for 2-4 weeks
use