Our goal of this paper is to show that Ho’s vector-valued Morrey spaces can be realized as a special case of pointwise multiplier spaces. This extends Lemarié-Rieusset’s theorem. One cannot extend his theorem directly, because we are handling Banach lattices instead of Lebesgue spaces. It turns out that mixed Morrey spaces, Lorentz–Morrey spaces, and Orlicz–Morrey spaces fall under the scope of the framework in this paper. This work can be located as a continuation of the huge study of multiplier spaces collected in the book of Maz’ya.