The Holstein model (in the one particle sector) describes a lattice particle interacting with independent Harmonic oscillators at each site of the lattice. We consider this model with on site disorder in the particle potential. This is proposed a simple model in which it may be possible to test some ideas regarding multi/many-body localization. Provided the oscillator frequency is not too small and the hopping is weak, we are able to prove localization for the eigenfunctions, in particle position and in oscillator Fock space. Some open problems regarding the character of high energy eigenstates will be discussed. This is joint work with Rajinder Mavi.