Hantuchova needed a first-set tiebreaker but then went on to a 7-6 (7-5), 6-4 triumph at Edgbaston Priory Club in the grass-court Wimbledon tune-up.
The Slovakian veteran -- who was runner-up in Birmingham in 2011 -- improved to 6-9 all-time in finals, notching her first victory since last year in Pattaya City.
Vekic, 16, fell to 0-2 in finals, coming up a bit short in her quest to become the WTA's youngest-ever tournament champion.
She also fell in last year in the finals of the Tashkent, Uzbekistan event.
Attkisson leaves CBS News, reportedly over network's 'liberal bias'
Duggar sisters unveil Christian dating rules in new book