Yes, that's right. I presume the zebra parent to be a common zebra, though I'm not sure of the subspecies. I'm not sure what breed of horse either. Unfortunately I don't know anything about the history of this animal. It is kept in a children's farm cum walk-through enclosure alongside about 70 Vietnamese Pot-bellied Pigs, a dozen or so equids (ponys and donkeys) and very many goats and sheep. It was a shame to see some of the animals in poor condition.
