By close analogy with multiferroic materials with coexisting long-range electric and magnetic orders a “multiglass” scenario of two different glassy states is observed in ${\mathrm{Sr}}_{0.98}{\mathrm{Mn}}_{0.02}{\mathrm{TiO}}_3$ ceramics. Sr-site substituted ${\mathrm{Mn}}^{2+}$ ions are at the origin of both a polar and a spin glass with glass temperatures $T_g\approx 38\mathrm{K}$ and $\le 34\mathrm{K}$, respectively. The structural freezing triggers that of the spins, and both glassy systems show individual memory effects. Thanks to strong spin-phonon interaction within the incipient ferroelectric host crystal ${\mathrm{SrTiO}}_3$, large higher order magnetoelectric coupling occurs between both glass systems.