A follow-up on the authors′ earlier discussion on the Kantor construction of Jordan superalgebras is presented. A short axiom, required in characteristic 3 but omitted in the original treatise, is added to those of a Jordan superbracket. A particular case of the Kantor construc¬tion is the Jordan superalgebra of Poisson Brackets. Jordan folklore describes this superalgebra in Clifford terms, but we show this description does not even yield a Jordan superalgebra. An amended Clifford description of the Poisson superalgebra is given which does represent the superalgebra of Poisson brackets.