Looks like we may be cousins - my great-great grandfather is Francis Donaghy
You said that you're Charles Donaghy/Donohue's son? Is your mother named Helen?
I have some info, but I'm not exactly sure if we're looking for the same people. "My" Francis Donaghy was married to Margaret McCann. I have that he was born in 1855 and died in 1927, but I'm not sure if it's 100% accurate, as it was information given to me by a family member who was also working on a family tree.
My Great-grandfather, Patrick, did have brothers named Charles and Peter, but no sisters named Mary or Sadie (Sarah). His sisters were: Margaret & Kathleen. If the ship manifest I found is the right one, I believe that Patrick and his sister, Maggie, came over together and met up with their brother, John, in Paterson, NJ. They arrived in 1912.
If you think that we are looking for the same family, I can share my tree with you so that you can see what information I currently have on them.
Edit: I just saw that you have a family tree attached and I'm a bit confused. You're post says that you're looking for Donoghy's in Tyrone Co, Ireland, but the people you have listed are from England? So you're looking for English Donaghy's and not the Irish ones? I think that my Donaghy's are a bit older than yours too.