As I recall, the starting lineup in 2006-2007 was Renee Montgomery, Mel Thomas, Kalana Greene, Brittany Hunter (or Charde Houston when Hunter couldn't go, which was often), and freshman Tina Charles. Kaila McLaren came off the bench, and I believe that was Ashley Valley's senior year. As a freshman, Tina was something like Gabby Williams this year -- she could dominate against lesser competition, but couldn't really compete effectively against top opposition, specifically Candace Parker (against whom she actually played that year in the last game between UConn and Tennessee) and Sylvia Fowles at LSU.
That period was also the period of Rutgers' zenith -- they had Cappie Pondexter, Essence Carson, Matee Ajavon, and Kia Vaughn. Nonetheless, that was the year that UConn beat Rutgers and its dreaded "55" full-court press, because Ashley Valley unexpectedly started the game as point guard, had zero turnovers against the press, and made a couple of critical 3-point shots. CViv complained that her team had been beaten by "no-names".
Notre Dame was not particularly good in that pre-Skylar era.
I believe that the team split the season series with Rutgers, defeated LSU by one point on the road because the LSU player had a foot on the line on a last second shot that only counted for 2 points instead of 3 (and later lost by about 20 to LSU in the Elite 8), and was tied late in the game with Tennessee and ended up losing by 6 or 7. It was certainly a Top 5 team, but not nearly as dominant as more recent teams. Everyone (not just UConn fans) thought that when Maya arrived as a freshman for the 2007-2008 season, UConn would compete with Tennessee (who still had Parker) for the top slot.
By the way, UConn never lost to Rutgers in the NCAA tournament in those years. They lost to Stanford in 2005 in the Sweet 16, to Duke in the 2006 Elite 8 on Charde's overtime miss, and badly to LSU in 2007. In 2007-8, they made the Final Four after losing Kalana and Mel to injuries (beating Rutgers in the Elite 8 in a very close game), but lost to the Stanford team with Wiggins / Appel / Nneka Ogwumike in the semi-final game. Stanford then lost to Tennessee in the final -- Tennessee's last sniff at the Final Four.
In that era, UConn had no dominant players -- no Maya, no Tina or Renee as we know them, no Stewie / MoJeff / KML / Tuck. Even with Geno as the coach, it was hard to be the top team when other teams had talent at that level and UConn did not.