The eighth-seeded Barty ended the run of 17-year-old American Amanda Anisimova 6-7 (4), 6-3, 6-3 on Friday.
Barty had all but secured her spot in the finals as she served for the match at 5-2, before the 17-year-old saved three match spots to level out the game.
Anisimova was born in Freehold Township, New Jersey on August 31, 2001 to her parents Olga and Konstantin.
Marketa Vondrousova is the first teenager to make the final in 12 years. Like Vondrousova, the Australian was a newcomer to such a stage but four years her senior and having established herself in the top 10 this year, she was by some margin the more seasoned campaigner.
It was a stunning turnaround with Anisimova pinching the set.
But showing huge grit and determination the Ipswich native came from a break down in the second and third sets to set up the biggest match of her career. All she had to do was fire on all cylinders at once, and that she did, schooling Vondrousova in a 70-minute, 6-1, 6-3 win that was as straightforward as the men's semifinal won by Dominic Thiem was drawn out and theatrical. Barty won both times in straight sets.
Barty led 4-2 but then faltered as Anisimova came roaring back to win it with a blistering forehand down the line.
In a good sign for the Aussie, the pair have met twice before with Barty winning both matches. Her time away included a short stint as a professional cricketer - a game she excelled at after picking it up from scratch, and loved for its team aspect.
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"It's been the most unbelievable journey that we've been on for the past three years and I feel like this is just the start for us".
Barty said she went the full gamut of form with some sparkling shots, but some points leaving plenty to desire.
"She has always said she wants to resemble Maria Sharapova", said the player's mother, Olga, adding that she had wanted a poster with her tennis idol for Christmas when she was seven. "At the end of the day, it's an awesome opportunity".
"I think any time I can play my brand of tennis, I know that I can match it against the best in the world". I'm so proud of myself the way I was able to go out there and handle it.
Barty then upended now-world No.1 Naomi Osaka en route to the title in Nottingham last year before a breakout third-round showing at Wimbledon - just two years into her comeback to tennis - confirmed her grass-court prowess.
Cash regularly often watches Barty's matches with the Queenslander's coach Craig Tyzzer, admitting he's an unabashed fan of the Australian magician.