I don't know which style knitting she did, my guess would be English.
I just found this thread for the first time. I loved the books as a child, read them all. I read them to my children when they were young. The difference in perspective was amazing. As a child I thought it was all wonderful and sounded like a great way to grow up. As an adult, I saw it more from Ma's point of view and how she struggled to make a good home in difficult circumstances. Don't you suppose Pa would have made them knitting needles? I don't recall that it was ever mentioned though.