Majorana mass zeros from Higgs triplet vacuum expectation values without a Majoron problem

It is shown how to obtain recently proposed two-zero Majorana mass textures in models with three Higgs triplets with small vacuum expectation values and a sufficiently massive triplet Majoron by using Abelian discrete symmetries. The relationship in SU(5) grand unification where the triplets occur in 15's of the neutrino textures to up- and down-quark mass textures is briefly discussed.