We have calculated numerically the change in the NMR signal of rotating sup
erfluid He-3-B induced by the presence of one spin-mass vortex. The NMR lin
e shape is determined from the equilibrium distribution of the order-parame
ter axis (n) over cap (r). Depending on the external conditions, two textur
es of different symmetry and with clearly distinguishable NMR behavior are
obtained. One of these agrees with published NMR measurements, the other ha
s not been reported earlier. The methods are discussed by which the texture
transition and the new reflection-symmetric texture could be observed expe
rimentally.