My Friend Flicka - "Old Danny" (1956)

Nell agrees to look after the Jepson's old dog when the rancher threatens to kill it. When the dog's previous owner, a precocious ten-year-old girl, starts spending more time with the McLaughlin's home than her own, family discord ensues.
https://www.imdb.com/title/tt0654599/?ref_=fn_al_tt_1

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