I was hoping maybe you missed something, but yup, that is a GARBAGE recipe. I may leave an ugly comment on her blog.
You can make a recipe with any oils you like, and replace the water with your goat's milk. Milk soaps tend to be touchy - mine always smell like baby spit-up. The sugars in the milk make it more likely for your soap to overheat, but that's easy enough to deal with.
My suggestion:
40-50% lard, palm or tallow (I recommend lard)
5% castor
20% coconut (not the liquid kind, you want the solid kind).
25% olive (not virgin, grade A or pomace) or sunflower. (I actually really like a combination of olive, sunflower and rice bran but rice bran isn't available in a lot of grocery stores.)
5% superfat
12 oz goats milk
Put goatsmilk in fridge to get cold. Use a plastic pitcher.
Measure out lye and set aside.
Put the plastic pitcher of goat's milk in an ice water bath to keep it cold. Add the lye a little at a time, stirring. Assuming you don't have a small pitcher and the goat's milk fills it less than halfway, I'd use a stick blender to stir it. Lye crystals can settle to the bottom of cold liquid, instead of dissolving.
When you have added all of the lye, set it aside. Melt your oils. Overheated lard can smell like pork, so try not to overheat. The oils should be around 90-100 degrees. This is cooler than often recommended, but it should keep the milk from overheating your soap. When your oils are 90-100 degrees, add your milk. Stick blend (on 10 seconds, stir with wand, then on 10 seconds again). Stir until your soap reaches trace. (Google pics of trace.)
Pour into molds. Molds should be silicone, or a wooden mold with a silicone or freezer paper liner. Or plastic. You may want to grease them with a bit of mineral oil.
These instructions make the whole process seem less forgiving than it actually is. But I thought since you had a failed batch, you might want something that is very clear and precise.