Is swamp maple another name for Red Maple? I know that red maple is indeed a known cause of many poisonings in horses - I personally know someone who lost a horse that way.
BTW, note that all these poisonous plants are only poisonous IF the horses take it in their big furry heads to eat 'em (and sometimes it has to be a certain time of year, plant must be wilted, etc). Consequently you will find loads of people who say 'oh, I have had such-and-such in my pasture for twenty years and nothing has ever happened to my horses'. The problem is, there is absolutely no way of knowing WHEN your horses may decide to go on a gourmet binge, and you'll only know AFTER it's too late. So things like walnut trees, cherries, red maple etc should probably be kept away from horse pastures. (Also yew, oleander, and some others).
(Walnut shavings are an exception, my understanding is that they will almost always cause laminitis if a horse is exposed. Hence, buy ONLY bedding-grade softwood shavings from a trustworthy source).
It's a little more of a judgement call on plants that do not kill the horse so quickly or cause such irreversible damage. I will admit I have buttercup and milkweed in my pastures. The horses have plenty of other things to eat. But I do keep an eye out for anything that could be a symptom of early poisoning, so as to catch it before too much damage is done. I do not think it is realistic in some locations to think you can keep a TOTALLY questionable-plant-free pasture.
Pat