In a recent paper in Decision Sciences, Barton proposes a method for finding a unique solution for the nucleolus. We argue that Barton's analysis is flawed because (1) the nucleolus is unique and (2) his proposed solution is inconsistent and ad hoc. Using Barton's own example, we reveal Barton's proposal to be a modified proportional method applied to the least core. Comparing the nucleolus with Barton's solution, we argue that his proposed method has little to recommend it, either conceptually or computationally.