Definitely one of Tommy's songs! You can hear it on YouTube here:
Don't call me early in the Morning
The lyrics seem correct apart from one medical mishap in the last verse: it should be WHOOPING cough with a W, not hooping! (Aka Pertussis!)
Love all the Sands family songs!

The Barra MacNeils (with an A) are/were fab: from Cape Breton but ancestry going back to Barra in the Outer Hebrides, where nearly everyone is called McNeil or McNeill or Macneil or MacNeill. Possibly one of their most famous songs is "Working Man", written by the late Rita MacNeil. The band came from the Sydney Mines area in Cape Breton, hence the song.