  We study the see-saw realization of seven textures of the neutrino mass
matrix, which were presented by Frampton, Glashow and Marfatia. Two of them B_1
and B_2 are not realized in the see-saw mechanism without fine-tuning of
parameters. We present some specific textures of the Dirac neutrino mass matrix
and the right-handed Majorana neutrino one. In order to test these textures, we
discuss the effect on the branching ratio of mu --> e gamma. We also study the
U(1)_X times U(1)_{X'} flavor symmetry, in which U(1)_X is anomalous and
U(1)_{X'} is non-anomolous, to reproduce texture zeros. We present examples of
U(1) charges for two textures A_1 and A_2$.
