Fukuoka to Nagasaki

Hi, I am in urgent need of help.

I am flying to Fukuoka at 7.30pm tonight as my flight has been delayed by 4 hours. I need to get to Nagasaki where I am staying. I know there is an express train from Fukuoka to Nagasaki but I cannot seem to find information on when the last train leaves. Would anyone be able to give me any information please?

I really do not want to be stuck in Fukuoka without knowing where to go.

Thank you