Before making assumptions of egg loss...did you check her wings?
Many broody hens like to tuck an egg up deep under a wing.
I have one broody hen that consistently hatches 110%....I set 8, she hatches 9. I set 6, she hatches 7. I've moved her from one nest to another, checked her wings, and YET, the sneaky little girl still steals an egg, tucks it deep into her wing.
So, yes you may have rodents stealing your eggs. It could have been crushed, and the hen, for sanitation, ate it to protect the nest.
Or you have a very sneaky mother.
LofMc
Many broody hens like to tuck an egg up deep under a wing.
I have one broody hen that consistently hatches 110%....I set 8, she hatches 9. I set 6, she hatches 7. I've moved her from one nest to another, checked her wings, and YET, the sneaky little girl still steals an egg, tucks it deep into her wing.
So, yes you may have rodents stealing your eggs. It could have been crushed, and the hen, for sanitation, ate it to protect the nest.
Or you have a very sneaky mother.

LofMc