The 46-year-old Inkster, long one of the LPGA Tour's best match-play competitors, eliminated the 19-year-old Creamer a day after rallying to beat top-seeded Annika Sorenstam 1-up with a birdie on the 18th hole.
The 39th-seeded Lincicome beat third-seeded Lorena Ochoa with a 20-foot birdie putt on the 19th hole, the par-4 10th because the front-nine pin positions had already been changed for the championship match.
After halving the first five holes against the fifth-seeded Creamer, Inkster birdied the next five, winning Nos. 6, 7, 9 and 10 and halving the eighth to take a 4-up lead. Inkster ended the match with a birdie on the par-5 14th.
'I got on a good roll,' said Inkster, seeded eighth in the 64-player event. 'I'm playing well and looking forward to this afternoon.'
Inkster won the Safeway International in March for her 31st career LPGA Tour victory. The Hall of Famer is 5-1 in Solheim Cup singles and won 18 straight matches in her 1980-82 U.S. Women's Amateur victories.
The 20-year-old Lincicome knocked out second-seeded Michelle Wie with a 4-and-3 victory in the quarterfinals Saturday before beating Ochoa in the semifinals.
Lincicome and Ochoa halved only six of the 19 holes. Ochoa took the lead with an 8-foot birdie putt on the par-4 16th, but lost the par-3 17th with a three-putt bogey. They halved the par-4 18th and Lincicome won with her 20-footer on No. 10.
'Awesome round,' Lincicome said. 'The crowd got their money's worth.'
The champion will receive $500,000 from the $2 million purse. The runner-up will get $300,000, the third-place finisher $200,000 and the fourth-place finisher $150,000.