Recari entered the final round with a 1-shot lead but found herself two strokes behind Webb after the latter's birdie on the par-four 16th.
The Spaniard, however, responded with an eagle on the same hole to vault back into a share of first while Webb stumbled to a pair of bogeys on the last two holes and registered a 2-under 70.
Recari closed her round with a pair of pars to end at 10-under 207, securing only her second career title.
Webb earned sole possession of second place at 9-under, while Paula Creamer (71) and I.K. Kim (70) shared third place one shot further back.
Celebrity Families of 2014 [PHOTOS]