West Yorkshire Police have tweeted that Police Horse Bud has received dozens of messages of support in the post. Bud was attacked in football riots in Newcastle at the weekend.
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The 28-year-old's activities were first logged by Canadian authorities after he shared images via social media.
Katie and Ryan Barrett are trying to raise £100,000 to fund experimental brain tumour treatment for their five-year-old twin son Zack.
Her petition is calling to ensure family courts don't allow known abusers to continue having unsafe access to children.