The former News International chief executive Rebekah Brooks has arrived at Westminster Magistrates' Court.
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Police were called after a dog walker reported seeing a "little crocodile" lurking in a swamp.
Some social media users have called for the cow to be freed and are using the hashtag #SaveCarlisleCow.
Miranda Hollingshead, 27, was visiting Arkansas' Crater of Diamonds State Park with her family when she made the discovery.