The animals that jewish Ebionites eat must be as far as possible vegetarian and travel in groups. Cattle, sheep, goats and deer are allowed as they are all vegetarian and are at least sometime in herds or flocks. Donkeys, camels and horses are out because they are too much loners and might only group to mate. Birds allowed include chickens, geese and ducks because they flock well and can live on plants though they might eat bugs or fish as well. Only scaly fish since some scaly fish swim in schools and who knows what fish eat. Only locusts among bugs as they definitely travel in groups and eat plants.
Although gentile Ebionites may eat pretty much any animal, the slaughtering rules make a lot of animals impractical. Lobsters, oysters and octopots are all out because theres no way to kill them fast and painlessly. Being dunked into boiling water is pretty fast but not liable to be painless. Also any thing kept as a work animal or pet is absolutely out as that would be extremely disrespectful.