The South American champions were missing legendary forward Marta, the leading scorer in Women's World Cup history, through injury.
And it was a successful day for all involved with Brazil as it strolled to victory, with Cristiane the star of the show in Grenoble.
The 34-year-old completed her hat-trick in the 64th minute, expertly striking a free-kick from just outside the area off the crossbar and into the net for her 92nd global goal.
Brazil would have won by a bigger margin but for Schneider.
Nikita Parris - who plays her club football in France for Champions League winners Lyon - lashed home from the spot, with Ellen White netting England's second five minutes before half-time.
It was awarded after Allyson Swaby handled inside her own area.
The Jamaica keeper twice denied Debinha when the Brazilian forward was through on goal.
For once Schneider was caught out early in the second half, unable to reach a low cross from Andressa, who steered the ball in from the right and Cristiane slid in to finish. Her first goal came in the 15th minute, and she added another in the 50th minute and a third in the 64th minute.
- Brazil's victory over Jamaica was its first win in any competition since July 2018 (2-1 vs. Japan), halting a run of nine consecutive defeats before today. Italy is competing in the World Cup for the first time since 1999.
Victory at Stade des Alpes in Grenoble meant Vadao's side maintained their flawless record in World Cup openers and also snapped a run of nine straight defeats in the lead-up to the tournament since a 2-1 win over Japan last July. They were the first women's soccer team from a Caribbean country to quality for the prestigious soccer tournament.