A girl falling down in the snow as another looks on.
Girl wearing a thick winter coat.
A girl could fall in the snow without wearing a thick winter coat on and the second sentence doesn't indicate that there was snow or if she even fell down.
exists e1 p1 p2 x1 x2 x3.(n_snow(x3) & a_topic(x1) & exists e2 s2 x4.(a_on(s2) & Manner(e2,s2) & Actor(e2,x4) & v_look(e2) & n_thing(x4)) & as(e1,p2) & in(e1,x3) & exists s1.(Theme(s1,x2) & a_down(s1)) & Topic(e1,p1) & Actor(e1,x2) & v_fall(e1) & (x1 = x2) & n_girl(x1))
exists e1 s1 x1 x2 x3.(ne_nam_girl(x1) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_coat(x2) & of(x2,x3) & n_winter(x3) & a_thick(s1) & Theme(s1,x2))