Make seams along the long edges of the fabric to make a neat edge and prevent fraying. Fold the edges down 3/8-inch on each long side, and iron the fabric to make a crisp edge. Fold the edges again to conceal the raw edge. Iron the edge once more. Sew along the edges to make the seam.
Make a pocket on either short end to hold the rope that will secure the hammock. Fold the edges of the fabric on either short end 3/8 inch. Fold the fabric down an additional 2 inches to make a 2-inch-wide pocket. Iron the edge to make it smooth. Sew the pocket three times to reinforce it. This pocket must be strong enough to hold the weight of your child.
Cut the rope in half and tie each length of rope to a small dowel. Insert the dowel into the pocket and pull the rope through so it is centered. Remove the dowel.