Accies' William Hill Scottish Cup dreams came to a disappointing end at New Douglas Park as a Blair Alston double gave Steven Pressley's side the win and booked their place in the semi-finals.
It could all have ended so differently for Reid's men, but striker Andy Ryan missed a late sitter from just yards out after giving them hope with a well- taken finish minutes after coming off the bench.
But it wasn't to be for the Lanarkshire side as the Bairns held on to claim a Hampden berth.
Hamilton return to action against league leaders Morton tomorrow night and Reid has urged his side to maintain their cup work ethic for the rest of the campaign.
He said: "I can look all my players in the eye and say that they gave everything and gave the club everything. They were all drained after the game.
"I will pick out Gary Fisher, I thought he was magic. He had energy, hunger, drive, I thought he was outstanding.
"I didn't have too many not driving forward, they gave me everything.
"We need to go again. I said to the players after the game if they keep that work ethic up and keep showing that spirit and they will win games like that between now and the end of the season, that I guarantee. They have set a standard.
"The only thing I will say is that for dominating so much, we didn't do enough in the final third.
"We need to do more in the final third. That is the only negative."