The original is on a wall at the farm buried under several feet of snow but I found a decreased resolution jpg scan on the laptop. At first glance it does a decent job! Potrace leaves lots of unconnected short lines and random background zits, doesn’t seem to be much if any of that here. I was going to suggest short line limit (remove anything shorter) and adjacent line combination (connect two lines if less than a threshold apart), but at least in this lo-rez pic there’s no need.
I keep hoping that something someday will turn it into one vector per pencil line, but this scan isn’t good enough to expect that. One problem is that pencil on drawing paper seems to leave a lot of white space where the lead hits the high points on the not perfectly flat paper. This image was preprocessed for linuxcnc and image2gcode over 10 years ago. Lizzie must have been under 10 when she drew it 20+ years ago, and it still gets rolled eyes and an “Oh, Dad”.