My impression was that there are multiple friends with kids at Ivies, not necessarily kids who are friends or peers of OP’s daughter. (Some of the wider circle likely includes older students who attended in previous years) In other words, no particular reason to assume that “our other friend’s daughter” is same person as “her friend, who is at Yale.”
Some of these other kids who attend Ivies might also be legacies. Not that it makes a huge difference these days, but it would be a factor that slightly increases odds of admission.