A woman is holding a child.
She is with a child.
Is with a child implies that she is holding a child...though arguably, "with a child" doesn't necessarily directly imply that she's holding the child.  The child could be standing beside her, or sitting in a car seat, or she could be pregnant.
exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_hold(e1) & n_child(x2) & n_woman(x1))
exists p1 x1.(n_female(x1) & exists x2.(with(x1,x2) & n_child(x2)))