"The pony - who the farmer bought in January 2009 as President Obama had his presidential inauguration delighted viewers with his trotting ways as he helped ferry a woman in a wheelchair across the countryside in the South Downs."
https://www.thesun.co.uk/tvandshowbiz/3017089/obama-the-horse-has-countryfile-viewers-in-stitches-as-he-trots-around-the-south-downs/
Maybe the horse was renamed when purchased?