But that dominant first half hour was as good as it got for Glasgow as Northampton came roaring back to win 24-15, dishing out a first defeat for Gregor Townsend's men in five games after racking up four straight RaboDirect PRO12 victories before the trip to England.
And Kellock admits his Warriors need only look in the mirror if they want to start pointing the finger, adamant they threw the game away.
"If you break the game down, we were fantastic for 30 minutes, attacked very well and developed our game well, learning lessons from the way they defended," Kellock told The Herald.
"We kept the ball in hand, our breakdown was top class and they weren't competing all that hard.
"But we made silly mistakes and it gives them two tries, and all of a sudden you're going in and having to speak about lifting it and not being down when we should have been talking about putting our foot on their heads and finishing the game off.
"When these things happen - and they do happen - especially against such a great team, you are going to have points where the game isn't going your way and we've got to have the maturity to be able to stop that and make it hard for them.
"We were not a difficult team to play against for certain spells and, especially away from home, I'm a massive believer that we have to make it very, very difficult to get points against [us]."
63x46.png){kind=logo}