Thanks to everyone for their responses! Apparently, my computer sent all of this to my Junk, and I just found it!!
Sooby is right. They are way too small to be rabbit nests. And William is probably right about the eggs since they look like bug, not mammal, eggs and appear in only a few of the nests. We have been bothered with voles in the past and they did eat lots of my plants including a really big blue baptisia which was glorious on Monday and down and dead on Tuesday, eaten right off below ground. Also ate my anemones.They are very cute and it bothers me, but we trap them because it's the voles or the garden. I tried coexisting with them and it didn't work. since I'm pretty sure they are nowhere else in the yard, I don't think they are making nests. Even my biologist son-in-law is stumped. I think I'm going to set up my wildlife camera and see if I get anything.
Thanks again!