I’m giving two or three pygmy goats a home soon. Here are some names I like for them.
[name_f]Amity[/name_f]
[name_f]Eris[/name_f]
[name_f]Verity[/name_f]
[name_u]Everly[/name_u]
[name_f]Felicity[/name_f]
[name_f]Lilith[/name_f]
Lilin
[name_f]Kira[/name_f]
[name_f]Persephone[/name_f]
[name_f]Serafina[/name_f]
[name_m]Rule[/name_m] of thumb for (most) pets, limit them to two syllables (unless you have a nickname they’ll go by) and the best names end in a hard vowel. These types of names are the most identifiable for most animals to learn. I’ve seen a lot of people get a horse or a cat or a dog and try to name it something and then the animal starts going by a different name someone else calls them. Usually I hear them say “Oh, they must like that person better” when it’s actually because the name they initially tried out was too complicated for the animal to even bother learning, and another was more easily adaptable. It’s the same basic reason children learn words like “train” and “potty” before they learn “locomotive” and “septic system”.
I bring this up because you have a lot of three syllable names. A name like [name_f]Kira[/name_f] is great, but [name_f]Serafina[/name_f] and [name_f]Felicity[/name_f] are going to be pushing it, unless you decide to call them something like [name_f]Sera[/name_f] and Lissy instead and just use the full names for the vets office and friendly conversation. A lot of these names are great, don’t get me wrong, but they’re not really practical for livestock.
I knew goats: [name_u]Ruby[/name_u], [name_f]Emerald[/name_f] and their kid Munchkin. Get it?
I like [name_f]Kira[/name_f] and [name_f]Eris[/name_f]! 
I love [name_f]Eris[/name_f] for a goat!
2 syllable names are easiest for animals to learn. If you don’t expect them to learn their names or anything, then then I like [name_f]Persephone[/name_f] and [name_f]Amity[/name_f].
If you are looking for some two syllable names:
[name_f]Posy[/name_f]
[name_u]Penny[/name_u]
[name_f]Phoebe[/name_f]
[name_f]Sadie[/name_f]
[name_f]Vera[/name_f]
[name_m]Lemon[/name_m]
[name_f]Maple[/name_f]
[name_f]Honey[/name_f]