Hand doesn't move anything.
The Hand Tool can be used to move the canvas on screen, it is not supposed to move Layers or their content.
To move Layers select the Move Tool (V).
To align two Layers (with the Move Tool selected) select them both in the Layers Panel and use the alignment options in the Options Bar.
Thanks, but I see no Move Tool on the left with the others in Liquefy.
Sorry, I misunderstood that you wanted to move the Layers in the layered file.
Llquify is a Filter and in its dialog I know no way to move the selected or another Layer as a whole. (edit: other than employing the Filter’s displacing capabilities, but I think that would hardly make sense in this case.)
Ok, thanks. I cropped the photos so that they are the same size and the subject centered enough so, when in Liquefy, they are approximately over each other.