Lacey,
We had quite a time trying to figure out our name for our homeschool. First, we talked about what our homeschool meant to us, and what we hoped to achieve in it. Then we tried to decide what was the most important overall factor. In the end, we all decided that family is really what we are about, and so we looked into our past, and discovered that my husband's family has a pretty cool coat of arms & crest. Since there is an eagle on the coat of arms, we decided to go with Eaglecrest Academy.
Why I am mentioning all this is because you said this was for a 4-H project, with more than one child involved. Is it possible that the kids could do some research into what they are hoping to attain from the project? Like maybe blue ribbons at the fair ( hence ~Blue Ribbon Ranch~) or maybe they want to be recognized for having the prettiest laying hens ( ~ Easter Egg Farm ~ ) or maybe it's a group of girls only ( ~ Lovely Ladies Lagoon ~ ), etc, etc.
My kids had tons of fun coming up with a name, and then making up a flag as well. I imagine yours could either paint a sign or a flag or a posterboard of some sort as well, and have quite a bit of fun. Then, when they go show the chickens at the fair, they will have a banner of some sort to hang up over where their hens are staged.
Anyway, just a thought ~ hope it helps.
~Red