Feather color is a pretty poor indicator as to breed. Comb type, eye color, skin color, size and body weight, conformation, number of toes, thickness of feathers, color of the soles of their feet, and so many more things go into breed. Productions reds are not a breed, it is a marketing name that different hatcheries can use different breeds and hybrids to put together. They are bred to lay a lot of nice eggs and have mostly red feathers. An expert could likely tell the breed (if it is a recognized breed and a true representative of that breed by looking at a black and white silhouette of the bird.)
A very strong indication she is not a production red. If you look at Hoover's written description of their green egg layers they say any of them can have many different colors of feathers. That hen about has to be one of their green egg layers.
Where do you see it written that any hen of any breed will never go broody by anyone that should really know what they are talking about? It is usually written that "they are not often known to go broody" or "don't normally go broody". The ones that know what they are talking about should use weasel words like "often" or "normally" to avoid saying "never". If you read enough posts on this forum you will read stories where a hen of any breed went broody and did a great job of raising the chicks. You'll also read stories where many hens of a breed that are supposed to go broody a lot never went broody. I've had Buff Orpingtons like that. Buff Orps are supposed to go broody at the drop of a hat but mine did not.
