The picture accompanying this video includes Jeff Beck and Jimmy Page, but neither of them played on this cut. It's from the first American release (LP) by the Yardbirds. The whole thing was in the can when Eric Clapton quit. He was replaced by Jeff Beck, whose picture was on the cover of the album. If I recall, one or two cuts had Jeff on them and the rest, including "A Certain Girl," featured Eric.
Lots of deadbeats on YouTube complaining about the model's dancing in this video. I think she dances just fine.