[jbotz]

Yes, ants evolved from wasps, and it's really not that surprising if you take a close look at a typical ant and a typical wasp, pretty much the only difference are wings and coloring. There also exist wingless wasps, and some of them are black and really quite indistinguishable from ants by non-entomologist. And that's after over 100 million years since the ants diverged from the wasps! Talk about a successful evolutionary design. Your closest relative from 100 million years ago was a little vaguely rat-like thing. (Edit to answer your specific question: the ancestor of ants and wasps obviously was winged and flying, since both families still have at least some winged members).

As a sibling has already pointed out ants do fly during "nuptial flight", and then discard their wings... wings would only be a hindrance for their largely underground lifestyle. Also ants have retained the stinger which also functions as an ovipositor (egg layer), and some species still use it for defense and pack a wallop of a poison, right up there with some of the of the worst wasps. Google "bullet ant" for some good stuff. Other ants just bite, and the burning you feel is from their saliva which consists mostly of an acid named after ants: fourmic acid (ant is "formica" in latin).

Edit to add one more random factoid that will surprise a lot of people: termites are not related to ants at all, and they evolved from... (drumroll)... cockroaches! It's rather harder to see the resemblance, except for their diet... both are capable of digesting (with help from endosymbiotic microbes) pure cellulose. And while termites don't really resemble ants either, parallel evolution has chosen the same strategy of retaining the wings for the fertile individuals who go on a nuptial flight and then discard their wings and try to found new colonies.