John L. Sorenson theorizes that Book of Mormon "horses" may have been Mesoamerican tapirs.
John L. Sorenson, Mormon's Codex: An Ancient American Book (Provo, Utah: Neal A. Maxwell Institute for Religious Scholarship/Salt Lake City: Deseret Book, 2013), 318-319
Yet the "horses" mentioned in the Book of Mormon might have referred to some beast other than the one we think of when we hear the word, as already noted. A large literature discusses the terminological problem that explorers of new territories face when they come across unfamiliar animals; they usually dub these with names of similar and familiar creatures. These names prove misleading if taken literally. As mentioned previously, Aztec scribes wrote of Spanish horses as "deer-which-carried-men-on-their backs, called horses" and also of "the deer they rode, that is, the horses." In the 16th century, Fray Ponce gave the example of the tapir, which the Maya called tzimin, a name they also gave to Spanish horses "because they say they resembled them greatly." Others see in tapirs a likeness to the buffalo, the ass, the elephant, the ox, or even the rhinoceros.