Before beginning, freeze the goat milk to prevent it from burning when mixed into the lye solution. You can use it at the slushy stage or you can fully freeze it and use it in ice cube form.
Weight out the distilled water and lye, and pour the lye into the container with water. (I like to use stainless steel bowls for this. Never pour the water into the container with lye.)
Mix the lye into the water until it is fully incorporated. You'll notice that the solution will heat up and become opaque, but if left will later cool off and become transparent again. (Work outside or in a well-ventilated area, and avoid inhaling the fumes. Protect your eyes and hands with gloves and goggles.)
Add the frozen goat milk to the lye solution, and continue to stir as you incorporate it. It may turn slightly orange or brown due to the caramelization of the sugars in the milk reacting with the lye. To prevent it from burning, stir continuously until it has all melted and been fully incorporated into the solution.
In a separate bowl, measure out the oils. You can weigh them all in the same bowl by taring (setting the weight to zero) your scale between oils. (In the video you'll see that I was using solid coconut oil and didn't melt it before using it. That was only to prove a point. I'd suggest melting the coconut oil to make the process move along more quickly and make things easier. There is no need to heat the other oils, though. If things get too hot you may end up scorching the sugars in the soap.)
Add the lye solution to the oils and gently stir together until the lye solution has fully mixed with the oils.
You can now begin to carefully blend together the oils and lye solution with an immersion blender. You'll want to blend for several minutes, until your soap has reached "trace." Trace is the point in soapmaking when the oils and lye have emulsified and the saponification process begins. (Read more about reaching trace in this soap above.)
Once you've reached trace, you can add the honey and any essential oils or fragrance oils that you want to use. Blend until they've been fully incorporated.
Pour the soap into soap molds. I used a silicone loaf pan for this recipe.
If it is warm outside, you may want to pop your soap into the fridge or freezer to prevent having the soap partially gel. (You can read about the gel phase above.) Otherwise, leave it uncovered in a cool, ventilated area.
After a couple of days, unmold the soap. If you've used a loaf type pan, cut the soap into bars.
Allow the bars of soap to cure and dry for 4-8 weeks before using. (While you "can" use it before then without issues, the bars will harden and improve with time. Soaps will harden into longer-lasting bars and will mellow out during the curing process.)
Enjoy your soap!