The Mirza-Dodig pair paid for their profligacy as they bungled on multiple match points in the final set before the unheralded British came out trumps.
Both pairs traded a couple of breaks in the first set before the top seeds got a third break, which enabled them to close the set at 6-4.
Sania and Dodig looked on course for an easy victory but Neal and Anna came back strongly, getting a break and winning the second set 6-3. The fancied Indo-Croat pair had problem with their second serve and their success rate was a mere 38 percent.
The 11th game saw the locals break the serve of the top seeds and then serve out the match in the 12th game.
In the girls' event, India's Karman Kaur Thandi's poor show at the junior Grand Slams continued as Mariam Bolkvadze of Georgia won her second round match 4-6 6-2 6-2 in a little over two hours. Thandi had previously lost in the first round at the French Open.
