It was really designed more for hiking and enjoying nature. The land was part of the farm that was sold to the developer of the subdivision that are the backyards you mentioned. The previous owner, Mr. Wolsing, was an avid hiker and nature lover. He donated the land for the nature preserve to the Kenton Conservancy, whose volunteers maintain Wolsing Trails on a very small budget. The big problem with the trails is ATVs, which the signs were originally placed for. Their intent is to preserve the land in as close to a natural state as possible, which was the wish of Mr. Wolsing.
I have only been once, but the trails I saw were not the length and type that I would want for horseback riding. They are fairly short ( I jogged them in less than an hour ), and they run along the edges of families' backyards at times. The parking lot is also not really large enough for trailers. ...and this far into my answer, I remember seeing a sign at one point stating that the trail I was on was for walking only. I think the intent is to prohibit mountain bikes, but would likely apply to horses, too.
Thanks! Your answer is awaiting moderation.