We have found it is much better to use BREAKAWAY collars like these:
As they get to playing, they can get those horns inside a collar and twist.
With the breakaway collar - it breaks and you find it laying on the ground - and your goat is alive and well!
You can buy these plastic chains and connectors at your nearby feed store on online at JEFFERS.COM or CAPRINESupply.com and they are inexpensive. Tip: buy extra connectors as they seem to get out of shape and break before the chains do. You can buy tags and write their names on them if you like. A special ink pen that doesn't wear off is available to write on the tags. Since they come in all colors, you can use them to identify moms and their kids - or any number of categories.
By the way - the same goes for your dogs - esp. if you let them run free on your property. They can get caught and twist till they choke. This happened to my brother's dog years ago - he ran over to a neighbor's property and got hung up on a fire pit grill and while trying to free himself - well, you guessed it - he lost his life as he choked.