And in the 66th minute, Jill Scott headed Williams' corner kick just wide of the left post.
The game was played on Canada Day - the nation's 148th birthday - in front of a slow-arriving crowd. The attendance was announced at 31,467 in a stadium that holds more than 53,000. The crowd would've been would have been much larger had England not eliminated the host country in the quarterfinals last weekend.
The Lionesses have already created a buzz back home as just the third English team - including the men - to reach a World Cup semifinal, joining the 1966 champion and 1990 men's squads.
England began the day by receiving a royal pep talk from Prince William, who spoke to the players and staff by phone.
Manchester United and English national team captain Wayne Rooney has become a fan. Rooney posted a note of support on his Twitter account Wednesday, writing in part: "We're all behind you, let's go one step closer an get to the final."