Well, Pat, that's a very risky phrase in this situation. "Indian plum" is not a plum you would eat...it's just a (confusing) vernacular name. So what is a fruiting tree? Most trees will produce fruits, but not fruits you would find near the vegetables in the supermarket.
Indian plum, Oemleria cerasiformis, is better known as Osoberry, I guess. It's the sole member of the genus Oemleria. But it is also a member of the rose-family, as are many "fruit trees" such as cherry, apple and plum. So it is a somewhat related to those orchard fruit trees, but not very closely. It wouldn't be fair to state that all members of the rose-family would yield wood good for bows.
I think a search for "osoberry" should yield several good topics here. I remember the species being discussed not too long ago.