Centre coach Jay Hoffman said the Colonels played very well for 30 minutes - "The best we've played since we started" - but couldn't keep it up.
"We haven't played that full 90 minutes of soccer," Hoffman said. "I don't know really why we're not coming out with the results, but I do know that we're providing the effort."
Centre outshot Thomas More 16-14, and Centre goalkeeper Erin Haney had six saves.
Both Centre goals came in the first 20 minutes. Nikki Hollabaugh scored the first goal off an assist from Kim Lacy, and Meghan Mesalam made it 2-0 with an unassisted goal. Emily Kellner and Hagedorn scored for Thomas More in the 27th and 41st minutes, respectively.
At Danville, Centre (2-12, 0-4 Southern Collegiate Athletic Conference) dropped a 1-0 decision to DePauw (9-5, 4-0).
DePauw's Melissa Davis scored the game's only goal at the 33:17 mark.
Centre goalkeeper Ann Guagliardo had five saves, and the Colonels outshot DePauw 12-7.
At Terre Haute, Ind., Centre (19-9, 6-5) lost to DePauw and beat Rose-Hulman in SCAC East Division play.
The Colonels first lost 21-30, 30-20, 30-25, 30-27, 15-12 to DePauw. Leah Ballinger had 50 assists, Sarah Burger had 21 kills and five blocks and Whitney Faust had six blocks. Ellie Exner added 15 digs.
In a 30-28, 30-21, 16-30, 30-21 win over Rose-Hulman, Burger had 17 kills and Faust had 14, Ballinger had 41 assists and Faust had seven blocks.
At Danville, Centre's men lost 153-61 to DePauw, while the women lost 146-75 in their season-opening meet.
"It was a very good meet for us. We swam about as well as I could have expected this early in the season," Centre coach Dean Brownley said.
The women were led by Tina Adams, who won the 200-yard individual medley in 2 minutes, 21.63 seconds and was second in the 100 butterfly in 1:04.49. Both times were lifetime bests.
Danville native Deming Williams was second in the 1,000 freestyle and third in the 500 freestyle, and the women's medley relay was second with a time of 2:01.67.
Will Adams won the 1,000 freestyle in 10:52.58 seconds and was second in the 500 freestyle for the Centre men.