Hand stitch is simply when you sew by hand instead of using a sewing machine. There are many styles of hand stitching. Embroidery is one example.
Ahem is a finished edge to clothing. Hemming can be done by hand or by machine. With the new computerized sewing machine, the variety of hemming stitches is great.
Hook and Eyes are used to connect two edges of clothing. It gives a seamless look and many times they are used instead of buttons or zippers. They are hand sewn onto the fabric.
Lastly, hoops are used for hand and machine embroidery, hand and machine quilting, and many other styles of handwork. Crewel, cross stitch, needlepoint, etc.