I believe they certainly do.
With the goats just kidded, I feel for the ones whose kid’s die for one reason or another. If/when it dies, the doe paws it and tries to get it onto its feet. She licks it, and at night she lays beside it. If you remove it then she will go around for two days looking for it and calling for it. It’s an easily recognisable call, quite plaintive.
But it’s not just newly kidded does who show feelings of loss.
Goats are very family oriented. They stay together and sleep together in family groups.
I sold some goats yesterday and didn’t realize I had sold the 3 previous years offspring of one six year old doe. She had a one year old, a 2 year old and a three year old..
Today she had been wandering around the paddock crying/calling and looking for them everywhere.
Don’t I feel like a real rotter.