The 29-year-old will move alone to the top of the rankings, after her and Swiss Hingis ended their highly successful partnership last month as joint number ones.
The dominant pairing claimed 14 titles, including three Grand Slams.
Hingis came to Cincinnati off the back of winning Olympics silver for Switzerland with Timea Bacsinszky in Rio de Janeiro.
In the final on Sunday, Hingis and American Vandeweghe saw a 5-1 lead in the opening set evaporate, before Mirza and the Czech Republic’s Strycova hung in during the second to close out a straight-sets victory.
Though Hingis and Mirza are no longer permanently together, they will still play in October’s year-end WTA Tour Championships in Singapore.