A young lady poses for photo with her dog.
Woman taking picture with her cat
A woman does not imply that she is a young lady.  A cat and dog are separate animals.
exists s1 x1 x2 x3 x4.(a_topic(x1) & for(x1,x3) & with(x3,x4) & n_dog(x4) & of(x4,x1) & n_female(x1) & n_photo(x3) & n_pose(x1) & of(x1,x2) & n_lady(x2) & a_young(s1) & Theme(s1,x1))
exists e1 x1 x2 x3.(ne_nam_woman(x1) & with(e1,x3) & n_cat(x3) & of(x3,x2) & n_female(x2) & Theme(e1,x2) & Actor(e1,x1) & v_take(e1) & n_picture(x2))