She seeks wool and flax, and willingly works with her hands.
I think the emphasis here is on the second half, rather than on wool and flax, specifically. This ideal woman is a diligent worker. She looks for productive work to do. The implication (in the word “willingly”) is that she works cheerfully, as well. (Ouch; those are my toes!)

You really might want to give some thought to wool. YOU and your family will stay warm! we’re in the deep freeze now.
Also FLAX seed is up on the good list for being nutricious and keeping people in a good mood ….good for their brain power….in our class on depression, (I call it HAPPY CLASS for all the good ideas we are learning), i think the word is, eat your beans, lentils etc and flax seed. One of the most pretty crops in the field is FLAX. That is the one that is rolling hills of light blue it seems.Thanks for good site.
Don’t know if I would go so far as to say “cheerfully” is inplied in the word “willingly.” I think it would be more accurate to say “without hesitation, grumbling or complaining.” I do many things for my family, which I do willingly. Do I enjoy all of them? Definitely not. Am I cheerful doing the dishes if the magic dish-washing fairy (my husband) hasn’t done them for me? Probably not.
But what I DO need to convey to my daughter is that I while I might not enjoy doing some of the chores, I willingly do them to serve my family. I am grateful that I can serve my family and do it without complaining. I don’t put off doing certain things because they aren’t fun, and I don’t do other things just because they are fun. I am joyful that I can serve my family, but that doesn’t automatically make me cheerful (especially when the cat brings in a mouse)!
I totally agree with you! I think we are just defining “cheerfully” differently. By cheerfully, I meant “without hesitation, grumbling or complaining.” 🙂 Thank you for clarifying that.