I would agree that she is a game hen. The longer tail feathers are a good indicator as well. She shares some similarities to the Kelso line of game chickens. This is one of those
They are flighty birds but make excellent mothers!
I think she definitely was a game hen. I say "was" because we had to re-home her. She was so flighty that she would not stay in the run. 4-5 times a day we would find her out of the run. And she was so fast and flighty that it took me and both of my kids to strategically get her back in the run. Luckily we have a friend with chickens and they free range on his land. She was a perfect fit for him, not so much for our backyard girls.