A woman is reading with a child.
A woman is with a child
Someone reading with a child could be doing do while not physically being near the child. Such as through skype.
exists e1 x1 x2.(with(e1,x2) & n_child(x2) & Actor(e1,x1) & v_read(e1) & n_woman(x1))
exists p1 x1.(exists x2.(with(x1,x2) & n_child(x2)) & n_woman(x1))