She followed a birdie-bogey combo at the second and third with five pars and notched a birdie at the ninth to turn in one under.
Lincicome tied fellow American Stacy Lewis with an eagle at the 18th in regulation play.
Lewis, the champion in 2011, closed with a 70 to set the target at nine-under-par 279, but Lincicome boxed a 10-footer for eagle to tie her former Solheim Cup partner with a final round 69.
The 2009 champion captured the victory with a two-putt par on the third extra hole.
Meanwhile South Africa’s Paula Reto closed with a three under 69 to celebrate her best Major performance with a tie for 26th on two-under-par 286.
Reto, whose payday was worth $22,429, notched a pair of birdies on each nine and dropped her only shot of the day at the par-four 18th.
Final result (Top 10 and RSA):
279 *Brittany Lincicome USA 72-68-70-69 (*play-off victory at third extra hole)
279 Stacy Lewis USA 72-69-68-70
280 Morgan Pressel USA 67-72-71-70
281 Carlota Ciganda ESP 74-71-68-68; Anna Nordqvist SWE 71-72-69-69; Sei Young Kim KOR 72-65-69-75
282 Lexi Thompson USA 72-69-71-70
283 Suzann Pettersen NOR 76-68-72-67; Mi Hyang Lee KOR 74-68-70-71; Shanshan Feng CHI 71-70-70-72
286 Paula Reto RSA 74-73-70-69
295 Lee-Anne Pace RSA 77-69-76-73
Article by Lali Stander, The Write Word Sports Media Consultants.
