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This note is of supplementary nature to our previous paper [J. Kaneko, K. Matsumoto and K. Ohara, The structure of a local system associated with a hypergeometric system of rank 9, Int. J. Math. 31 (2020) 2050021]. Let S be the union of the nodal cubic curve and its three inflectional tangents in the complex projective plane ℙ 2 . Such S has appeared as the singular locus of certain hypergeometric system introduced in [J. Kaneko, K. Matsumoto and K. Ohara, A system of hypergeometric differential system in two variables of rank 9,Int. J. Math. 28 (2017) 1750015], and we have given generators and defining relations of the fundamental group of X = ℙ 2 ∖ S [J. Kaneko, K. Matsumoto and K. Ohara, The structure of a local system associated with a hypergeometric system of rank 9, Int. J. Math. 31 (2020) 2050021]. X has a 9-fold Galois covering space X ̃ given by the complement of the Hesse configuration of 12 lines in ℙ 2 . Hence one can apply the method of Reidemeister–Schreier to derive a finite presentation of π 1 (X ̃) , which we carry out in this note. [ABSTRACT FROM AUTHOR]