I'm not sure that I understand the question completely, but I'll try to answer as best I can....if I don't answer specifically what you are asking, please let me know. I don't personally have any English Game, but one of my friends has them and says that they are very broody and very good mothers. Generally speaking (every hen is different) there isn't a need to separate the flock when one (or more) go broody. The brooding mother will keep others away from her nest, and specifically away from her chicks. Sometimes though, if you have more than one broody at a time, they will switch nests, fights over nests and sometimes even leaving one nest not kept warm because they are confused about which nest is "theirs". I try to move my broodies to opposite ends of the hen house so that they aren't right next to each other causing these kinds of problems.
Silkies and silkie mixes also make exceptional broodies and mothers, so they are another option for you. Are you planning on hatching chicks to eat, for eggs or both? Either English Game or silkies will lay enough eggs for your family, but if you are looking for meat neither of those breeds are particularly good for eating. If you are trying to produce both eggs and meat, you would want to hatch out some of the dual use breeds.
My suggestion, and I'm certainly not the only opinion, nor the best opinion out there, is to set up so that you have a pen for broody hens that hopefully lay enough eggs to keep your breakfast going without a rooster in that pen. I would have a breeding pen for dual use birds.......there are many breeds out there, just need to pick which one works for you. Take the eggs from the breeding pen to eat when you don't have a broody, then when one of the game hens or silkies goes broody, put the eggs from the dual use pen under them. In other words, you will need at least 3 and probably 4 pens. One for your broodies, one for your breeding pen, one for the chicks and then one for the cockerels when they get about 2-4 months old (breed dependent) and start to pick at each other over the pullets. The cockerel pen is your meat pen, the pullets can be moved into either of the other two (breeding or broody) when they are old enough and then either butchered at the appropriate time or kept for eggs or breeding. This is how I am setting up my new coop apartments, but it has taken me about 2 years to realize what kind of set up I wanted to have. You could probably get away with one pen for all of the hens with a rooster for breeding them, but a dual purpose rooster is usually fairly large and could injure a smaller silkie or game hen.
I hope this answered your questions. If not, let me know.
