Earlier, the Black Ferns Sevens had to work right to the final whistle to edge the United States 26-21 in the semi-finals, trailing the hosts 14-12 at half-time.
"It's my first silver medal in a World Cup, it's awesome", said Chloe Pelle after the final.
Davids, who was one of the Blitzboks' most impressive players during his time on the field, was then substituted and Rosko Speckman took over the playmaking duties.
"They're the workhorses who create the space on the outside for me to do what I do".
A memorable vicotry against the English earned Ireland a quarter-final date with eventual champions New Zealand, who eased to a 45-0 success.
Michaela Blyde led all players with five tries in the two blowout wins for the Black Ferns, who won the Rugby Sevens World Cup in 2013 and will face United States of America in Saturday's semifinals. "They are a quality side and we will have to be at our very best if we want to continue in the competition", Snyman said.
Speedy wing Naya Tapper sparked the Americans with early breakaway scores in both of her side's victories on Friday. "I can't wait to go home and show it back off to New Zealand".
The action gets underway at 10:00 local time on Friday 20 July (GMT-7) with Fiji taking on Spain in the women's competition.More news: Demi Lovato's Rep Speaks Out, Heroin Reports Refuted
The Olympic champions produced a magical display full of guile and sevens sorcery on their way to running in seven tries.
"We've worked it well and the players have delivered what they needed to today", Baber added.
"We've been preparing really well", he said.
Captain Tom Mitchell was England's saviour, picking out Phil Burgess with a crossfield kick for the winning score.More news: Meghan Markle fears her father will 'leak' conversations if they speak
Unlike England and Scotland, Wales and Ireland were not seeded straight into round one, and faced games against Zimbabwe and Chile respectively to make it into the round of 16. U.S. won their only World Series event earlier this year in front of their home fans in Las Vegas.
SA Points' scorer's v Ireland - Tries: Siviwe Soyizwapi (4), Justin Geduld (2), Werner Kok.More news: GST Rate Cut: Small Televisions, Lithium Ion Batteries to Become Cheaper