By Ros Satar
Watson, seeded 14th, needed just the one break in the first set to stay ahead , quickly getting the first set under her belt in 35 minutes.
The second set was a bit more tense, after Watson was broken serving for the set (at 5-4), compounded by a brief stoppage for rain.
Still, Watson made up for that small lapse by completely dominating the tie-break, winning it to love.
Watson will face qualifier Alla Kudryavtseva in R2.
There were just two holds in the first set, both by Konta.
The second set was a bit more consistent by both players, with Konta breaking early and just maintaining that advantage.
Moore got the better of Mladenovic on her fifth break point and after a couple more breaks had been traded, found herself serving for the set, showing no sign of the jitters as she held to love.
Moore must have thought she was in with a great chance to cause a bit of an upset as she went toe-to-toe with her opponent, ranked 155 places above her.
This time, perhaps nerves played a part as she lost her mini-break advantage, leaving Mladenovic to split sets.
Experience won through with the Frenchwoman taking the decider 6-4, but it was a great effort by the 21-year-old.
Mladenovic will face Johanna Konta in the next round.
Wednesday’s schedule sees Robson start her singles campaign, against Daniela Hantuchova.
Picture Credit: Keith Allison