And even after the Blues had taken the lead through a cruel Andy Crosby own goal, the Iron put in a sterling display - with Cleveland Taylor twice going close, seeing one of those efforts come crashing back off the woodwork.
Laws said: "I am very proud of the players but a little disappointed that we didn¹t get anything more out of the game.
"When the score was 1-1 there was some nervy play from Chelsea and it was disappointing for Andy to score the own goal.
"But we had our chances to equalise. Cleveland Taylor had a volley brilliantly saved by their keeper and then he hit the post.
"We were pressing for the equaliser and then the third goal killed us. Their manager made a few changes and maybe that was the reason we started so well.
"We were very much on top in the first 20 minutes - there was only one team in looking likely to score.
"But as the game went on, the Chelsea players stepped up a gear. They knew they had to to get a result.
"But overall, the players did the town, the fans and the club proud. I could not have asked for anymore from them.
"Hopefully, we can continue that kind of performance in the League - that's the most important thing for us."