"It was incredible. It's been over a year, and a kid later, and I get to go home to her now, and I'm excited about that," the record Grand Slam singles titles winner said after the match.
"It definitely wasn't easy I'm a little rusty, but it doesn't matter. I'm just out here on this journey and doing the best I can," added the 36-year-old American.
In other matches, Olympic gold medallist Monica Puig of Puerto Rico defeated Brazil's Beatriz Haddad Maia 6-3 and 7-6 (3) to move to the second round, where she will face 21st seed Anastasija Sevastova.
In the men's section, Spain's Fernando Verdasco won against Argentina's Guido Pella 6-2, 1-6 and 6-2 in a match that lasted an hour and 29 minutes. Verdasco will likely now face Grigor Dimitrov in the next round.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)