Roger Federer and Serena Williams headline Wednesday's second-round action but the British support will be fully behind teenager Katie Swan.
The 19-year-old from Bristol recorded her first Grand Slam victory on Monday to set up a match against Romania's Mihaela Buzarnescu (11:30 BST).
"Winning here is something I've dreamt about since I was little," said Swan.
Federer, seeking his ninth title, faces Slovakia's Lukas Lacko and seven-time winner Williams plays Viktoriya Tomova.
Elsewhere, Australian Open champion Caroline Wozniacki is up against doubles champion Ekaterina Makarova and five-time champion Venus Williams faces Romania's Alexandra Dulgheru.