Place the goat milk in the freezer while weighing/measuring out the other ingredients. (You'll want to have the spices ready to go so that you aren't rushed later on.)
Prepare the lye solution
Carefully pour the lye into the water in a stainless steel or plastic bowl. (For more safety tips, read my easy beginner soap recipe post.) Mix in a well-ventilated area. The mixture will heat up and become cloudy. Try to dissolve all (or most) of the lye before adding in the goat milk.
After a few minutes, begin adding the cold goat milk. I like to add it when it's frozen to avoid scorching the milk. If your milk isn't frozen, you can also mix them together over a pan of ice and water. Your solution will probably yellow. That is a normal reaction of goat milk and lye.
Add the sugar and salt to the lye solution. Once the solution is thoroughly mixed, allow it to rest while you get together the other ingredients.
Combine the lye solution and the oils
Melt the coconut oil if it is in a solid state. Then, combine the oils in a large bowl.
Add the lye solution to the oil mixture, and gently mix them together.
Once the lye solution is incorporated into the oils, carefully mix them together with an immersion blender. The mixture will become creamy looking and, after a few minutes, will thicken into a thin, mayonnaise-like texture. (If your ingredients are cold, it will take a bit longer.) At this point, it's called "trace." We can now add in other ingredients.
Add in other ingredients
Add the pumpkin puree to the soap mixture. If you want to add an orange pumpkin color, now is the time to add in some achiote powder (start by mixing in a small amount and add more as desired) or a soap colorant.
Add the essential oils or cosmetic grade fragrance oils, if you prefer. Certain essential oils, like clove oil, may cause your soap to thicken more quickly, so be prepared, just in case. I didn't find it to be an issue, but it may depend on the oil. You can experiment here, and use your nose to help guide you. I used mostly clove oil, followed by some cinnamon and ginger oil. ;)
Separate out about ⅓ of the soap mixture into a separate bowl. Add the ground dried spices to the ⅓ that you separated out. Mix well to fully disperse them in the mixture.
Pour into molds
Pour about half of the un-spiced soap mixture into your mold. (I'm using a silicone loaf pan.)
Add a layer of the spiced soap using about ½ of the spiced soap mixture. If it appears to fall to the bottom in one area, carefully spoon it over the top to completely cover the unspiced layer.
Cover that layer with another layer using the rest of the un-spiced soap mixture. Then, cover that, as before, with the rest of the spiced soap.
Swirl the soaps
Using a spoon or some other utensil, poke into the soaps, reaching for the bottom layer and pulling the soap out over top, trying to gently swirl the soaps in certain places. You can also zigzag your way through the soap in places, to have the soaps gently swirl together, without fully mixing them into each other.
Once you've gently swirled all over the soap, allow the soap to rest for at least 24 hours.
Unmold and cut the soap
After 24 hours, you can begin to check the soap to see if it's hard enough to be gently unmolded. If it is too soft, wait another day and check on it again. Once hard enough, gently unmold it. (Don't wait too many days or it may be difficult to cut into bars.)
Once you've removed the block of soap from the mold, cut it into bars. You can make your soaps as thin or as thick as you like.
Curing the soap
Place the soap on parchment paper or cardboard with air space between the bars. Allow them to cure for several weeks, ideally at least 3-4 weeks. During this time, the soap will harden and the crystalline structure will continue to form. To help the soaps dry thoroughly on each side, flip the bars of soap every couple of days at first. Once cured, it's ready to use like any other soap. Enjoy!
Video
Notes
*When first published, this recipe used 400g olive oil and 100g sweet almond oil. At the time, I had a lot of extra almond oil and was experimenting with it. I've found, though, that the extra expense isn't worth it. I now use the beginner soap recipe as a base- exactly as it was written in the original post.
Customizing the recipe
For more cleansing and lather, you can use 450g olive oil and 150g coconut oil for the oils, and increase the lye to 81g. If you don't want to use goat milk, you can use only water for the recipe.
Using goat milk powder
If using goat milk powder, follow the instructions that came with your goat milk powder. If yours didn't come with instructions, add, by volume, 1 part goat milk powder to 4 parts water. By weight, add around 15g of powdered milk to 100ml water. The final amount of goat milk in the recipe doesn't have to be precise. Just make sure that the total amount of liquid, water plus goat milk, is around 200ml.