My search generated a host of results. I poked around a bit, and though I did locate information about the "mary-kateandashley brand" of jeans, I couldn't find much information about the kind of genes I was seeking.
And while I did find some sites that reported that the twins are fraternal, these sites didn't back that up with anything beyond saying that one is left-handed and one is right-handed.
As I have since learned from Nancy L. Segal, a professor of psychology at California State University, Fullerton, this doesn't prove a thing. Twins can be identical and yet use opposite hands for writing. Blood tests can generally tell you for sure whether twins are identical, though sometimes you need to look at DNA markers to ferret out the truth.
To really know whether Mary-Kate and Ashley are fraternal or identical, we'd need a little of their blood. But alas, that's one of the few things they're not selling on their Web site.