I would think that there is no reason that you would not be able to reschedule jury duty if you have a trip planned.
I work in a law firm, and when a potential juror has a trip planned (and can back it up with documentation, such as airline tickets), usually the clerk will excuse them and then put their name back into the pool to be selected at a later date (usually within the next 6 months). The potential juror usually doesn't even have to sit during the selection process, they just come back at a later date to do their civic duty. At least, that's the way it works here.
I don't know how it works in Ohio, but I would imagine that woman was subject to some serious fines when she returned. I can't imagine that she might have told them about her trip and they didn't excuse her (at least for that particular trial) - when they get a jury pool, they have at least 4 times as many people there than they really need to select from.