Would anyone know where we could find...?

a guitar suitable for a 1yr old? Our grandson Alfie is 1 on Friday and has a fatuation for guitars! I have tried Argos, ToysRus and Early Learning Centre. Is it really that impossible to buy something so simple that a 1yr old can have? And, it has to have strings otherwise he doesn't want to know!! We could be looking at a budding musician who will buy us a big house and lots of fancy cars in our twilight years. That was a joke, but is there anything suitable?