If the lady stitches a single line (not crosses) for the stick figures, then you only have to use backstitch. Easy!
I couldn't find any freebie patterns for them, so what I suggest you do is grab some graft paper and sketch a figure onto it lightly with pencil. Then add the features, like hair etc, how you wish.
Lastly go back over your drawing a bit harder to give you an idea now of what/where to stitch. If you're stitching on aida cloth, each square represents a square with four holes at each corner with cross stitching, with back stitching you would stitch from the line intersections on the graph paper or from hole to hole on the aida (hmm does that make sense?)
You can stitch every second square of the graph paper (which will help the stitching go faster!) so go backstitch across two square sides instead of one. Or even cross stitch each square of the pattern to make the line darker on your figure.
If you're really stuck, I'll have a go at doing it with my cross stitch programme and email you a pattern to see if it's anything like what you've seen!!