Prime Minister David Cameron and boy band One Direction are among an ever expanding list of supporters and both sent her messages of encouragement on Twitter last week.
According to some estimations, she could surpass the likes of Olympian Jessica Ennis-Hill and become the highest-earning British sportswoman in history. A good run at Wimbledon could also double her current earnings.
"She has the potential to be the highest-earning athlete ever that we have produced in Britain because tennis is such a lucrative and global sport," said Nigel Currie, the director of sports marketing and sponsorship agency, brandRapport.
"If she wins a major she will then go in to the highest-earning bracket in the country for female athletes."
According to Coral bookmakers, Robson's odds of taking the title are now set at 33-1, down from 200-1 at the start of the tournament.
Murray - who faces the 20th seed, Russia's Mikhail Youzhny, in the second match on Centre Court - is second favourite to lift the men's trophy, after world number one Novak Djokovic.
The Scot finds himself as the only star name left on his side of the men's draw following one of the most astonishing weeks in Wimbledon history which saw a string of top players make unexpectedly early departures from the tournament.
Former champion John McEnroe has said it would be an "absolute catastrophe" if Murray, did not secure a place in the final.
Away from the British duo, today's action also sees Williams face Sabine Lisicki in the first match on Centre Court and Djokovic take on Tommy Haas at the end of the day.