British (?) mini-series (70s-80s)

Can someone please identify a children’s mini-series from 70s or 80s. I think it was in 6 parts. It was about a girl named Cassie, who befriended a grumpy old man and started taking care of his horse. When the man died, he gave the horse to her. Her parents were surprised and at first didn’t want her to keep the horse, but eventually agreed.

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