To anyone who might be interested - I received an email response today from a VP at Flowers Foods confirming that there are no animal-derived ingredients in Nature's Own 100% whole wheat bread. Good news since it can be hard to find an inexpensive "mainstream" bread that is vegan.
Yeah, been eating it for a couple weeks now. Delish and cheaper than the alternatives. The kind I've been munching on has "Organic" plastered across the front too. Not sure if there is a non-organic, but don't have any real drive to find out!