I never understood this question. A chicken egg can only come from a chicken. We know species have evolved from other species. The first chicken was likely evolved from another delicious bird. Or a dinosaur. Or something.
Hence, any eggs before the first chicken were not chicken eggs, the first chicken was hatched from an egg of it’s predecessor species, and as such, the “chicken” came before the chicken egg, but after the egg of whatever species from which it came.