When you've never said the Pledge of Allegiance before, you may not know what to do without a teleprompter.
They each have their left hand (note the wedding ring) over their right chest. Not the right hand over the heart!
Snopes doesn't appear to have anything on this incident, so it's certain to be 100% accurate. Seriously, and in all fairness, we don't know the context of the photo, but it certainly looks a tad bizarre.
Update: It's a Photoshop -- and a pretty damn good one at that. Thanks to the unknown commenter.