Your daughter has had a delayed granulomatous reaction to BCG
which most of the time is not due to active tuberculosis
but just an allergy
to the protein in the BCG vaccine
.This lesion usually needs no treatment however if its too large and formed an abscess
then surgical exicision may be done.Chances of recurrence of TB might happen in immunocompromised patient whose immunity is poor so if your mother is healthy then be assured she has no TB at present.However i would suggest that you get your daughter examined by her docter so that he could run few investigation to rule out active infection.