Measures on the unit sphere behaving weak-* continuously on the ball algebra are said to be Henkin. A seminal theorem of Cole and Range gives a complete characterization of Henkin measures as those absolutely continuous with respect to certain representing measures. Motivated by weak-* continuity properties of functional calculi in multivariate operator theory, Henkin functionals on non-commutative C*-algebras have recently emerged as objects of interest. In this talk, I will discuss a characterization of these functionals by exploiting non-commutative measure theoretic ideas. In particular, this characterization applies to Popescu's non-commutative disc algebra, as well as algebras of multipliers for unitarily invariant spaces of functions on the ball. This is joint work with Edward Timko.