What would happen with this cross? The EE Rooster has been with our bantam cochins for a while and we have been getting fertilized eggs. Can I hatch them? Just curious what the cross may be or how it would work with the small eggs.
Yes, you can hatch the eggs. All breeds of chickens can cross with each other with no problems (well, other than problems with whether one is the wrong size to actually mate with the other--if your eggs are fertile, then your chickens clearly have managed just fine.)
The chicks will be small when they hatch, because the eggs are small.
After they hatch, the chicks will grow up to whatever size their mix of genes calls for. That might be big chicken size, or bantam size, or somewhere in between.
Females among those chicks may lay green eggs, or may lay brown eggs. They might all lay the same color of eggs, or there may be some that lay one color and some that lay the other color.
Chicks will probably grow up to have pea combs like their father, although there might be some with single combs like their mother.
Chicks will probably have feathered feet like their mother.
Some chicks should have a beard like their father, and they might all have it.
I see the hen is a pretty gold color.
I'm having trouble telling color in the rooster photo.
I see black, but I'm not sure if I also see white or a light gold color or both.
Whatever colors the rooster has, his chicks are likely to have mostly the same colors when they grow up. Those colors may be arranged differently on each chicken--some might have more or less of the black, and it might be in different places.