Prepare the goat milk by freezing for a few hours until it reaches a slushy consistency.
Add the lye to the partially frozen milk and stir until completely blended. It will melt, heat up, and may change color. Set aside in a safe place.
Measure the oils, butters, and beeswax and melt over low heat until completely melted and heated to 140 degrees. Set aside to cool. Prepare your soap mold and any color or fragrance you are using.
When the milk and oils have cooled to about 110 degrees, pour the milk into the melted oils and blend using a stick blender. Mix until "trace" is achieved, or the soap thickens slightly and a trail of soap rests on top of the batter rather than immediately sinking in. Add desired fragrance or color, stirring in by hand.
Pour into soap mold, gently smoothing out top. Place in fridge or freezer to avoid cracking. Un-mold after 24 hours, cut into bars, and allow to cure for 2 weeks before using.