I didn't grow up with Laura Ingalls Wilder, but 'met' her when the Little House on the Prairie series was aired here in the UK when my 2 older children were little. I loved the series and my daughter watched it with me when it was repeated some years later. I thought the last episode was very moving.
Strangely enough, I don't remember the girls or their mother knitting. Nor do I recall any mention of knitting in Laura's books, which I subsequently bought and loved. The family had a challenging life compared to us, that's for sure.