They are crocheted, I don't think she tatted. She did doilies, of which I have a few too, and pot holders and afghans.
It's great that you were able to finish what she started. My two daughters don't seem to have an interest in sewing so don't know who would finish anything I leave behind.
I've been looking at the purses here and elsewhere and maybe I could get my eldest to sew if it was purses she could design herself.