My paternal grandmother taught me tatting, cross stitch, Swedish embroidery, embroidery, and crochet (which I hated and still do hate). My maternal grandmother quilted but I never learned how.
There were no knitters in my family. I haven't done any tatting for about 60 years but I do remember I could do it quite easily but she never taught me how to join the results when the bobbin ran out ... not very useful if you can't do that.