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Caged at the Museum of Jurassic Technology
Not a Rock Dove. They are stockier and have white at the base of the bill. I think dungeonmasterShu's suggestion or Turtle Dove is a good one.
Not a diamond dove I'm pretty sure--they have a distinctive red ring around the eyes. Maybe rock dove.
Domestic breeds of animals start looking different for various reasons (mostly due to selective breeding of specific traits). These most likely started out as "Streptopelia turtur"