BU - not necessarily. Depends how you define making babies. They may require a donor or a surrogate. Mitochoondrial transplatns. You still say parents are parents but ... yes, for human fertilisation require sperm and egg cells.
NC - you get sperm from one kind of body, eggs from the ohter. Only two kidns of bodies.
BU - those are the two cells, but not only two. Lots of different kinds of bodies .Biology much more complicated than a stick figure with a skirt and a stick figure with trousers.