So, I've read this article, and noticed a couple of issues.
1) There is no 0230 train like they are complaining about, if it does run, it is likely an STP or VSTP Flask train, and not one of Northern's services. The Flask trains 9 times out of 10 are now hauled by Class 68s from what I see. Obviously the article is from Jan 2017, where it may have been timetabled, but even then, one train in the middle of the night isn't the loudest.
2) The first loco-hauled Northern diagram out of Barrow isn't until 08:06, most people are awake at this time, and the locomotive comes from Carlisle, meaning there is no start-up time in Barrow.
The couple were frustrated to learn that Sprinter trains that had been in Barrow went sent to Chiltern
is just pure BS. The only trains to be sent to Chiltern from the North in the last... well, forever really, was TPEs 9 Class 170 units. These were generally only used on Manchester Piccadilly - Hull and Manchester Airport - Cleethorpes trains, so have had no impact on Barrow whatsoever. The 170s were replaced by 185s released from MAN-Scotland duties by the Electric 350s.
It just sounds like the mentality a lot of older people have when they have nothing to do but sit at home all day... let's make a nothing story up... That particular railway station has been in that location since 1882, longer than they've been alive. You don't move next to a railway and expect not to see and hear trains on a 24 hour railway, surely?