The American 16th seed, chasing Margaret Court's record of 24 Grand Slam titles this fortnight, was seeing the ball well throughout, striking firmly against the powerful Bouchard in some entertaining exchanges.
Williams said she was wary of Bouchard, who is on the comeback trail after a slide down the rankings to number 79 in the world.
Williams broke Bouchard's serve an incredible six times to claim a 6-2, 6-2 win. Well, it's a long list. "I got time to spend with my daughter so that mattered the most to me", she said.
"The one trophy that I keep is from the first match I played against Venus [Williams] when I was eight".
"I didn't really expect to be asked that because I just finished my match", said the sixth-seeded Ukrainian.
While the Australian and U.S. Opens take a laissez-faire attitude to what players wear, Wimbledon has a very strict dress code and the French Open will be ramping up their restrictions after Williams wore a black spandex catsuit previous year. It was a final and I lost the match and she gave me her first-place shield.More news: Four Civilians Shot As Zimbabweans Protest 150% Hike In Fuel Price
Ukraine's Dayana Yastremska, ranked 59th, awaits her in the third round.
That wasn't the only ominous sign for her Canadian opponent, a former Wimbledon finalist who has been trying to retrieve her stellar form of five years ago.
"But she's a tricky player".
From there, Williams got better - winning the ball, the point, the game, the set, and eventually, the match. "If her body holds up I do believe that she has a big chance (to pass Court)".
The younger Williams sister has no interest in that sort of comparison now.
"But I think for me it's just important that he gets back to regular life and be able to do what he wants to do".
"I don't know if she can do it here (equal the record) but I believe that she can absolutely", she told the Melbourne Herald Sun Thursday.