At max skill it's random, so you will just have to keep trying. Before them I think there is an effect of skill on which one you will get if you succeed. In any case, you will want to make a ton to get high comfort in your home (they're one of the easiest decorations), so it doesn't hurt to have duplicates.

IIRC, the list of wooden figurines is: man, woman, seagull, goat, spirit.