Rooney and Timlin, Ballina and Killala

I am trying to get more information about my great grandmother Agnes Anna Rooney and her family. What I know is that her parents were (I believe) John Rooney any 1837 and and Mary Anne Timlin 1856?-1888, baptized in Backs, Mayo. They appear to have been married in Killala, Backs, Mayo. Maybe Claughans? There appears to be a marriage date of 4 Mar1869. Agnes was born in December, 1876 in Ballina. She had 3 living siblings: Elizabeth 1877, Patrick 1878 and Mary 1886. My understanding is that her mother died from childbirth with Mary (or maybe a later non-surviving child). At that time Agnes went to live with her (Anthony?) Timlin grandparents at a Public House in Ballina (but I know they also raised at least some sheep). The other 3 children were placed in an orphanage.

Agnes raised enough sheep to sell for her passage to the US in1892, and she subsequently paid for all of her siblings to emigrate.

So, here are my questions. What happened to her father? I understand that at the time he wouldn't have been allowed to raise the children on his own, but what happened to him? What orphanage would the other children have been placed in? Are there any living members of the family left, I promise I am not going to show up on their doorstep!

Who was Anthony Timlin's wife? It doesn't seem to be a very common name, hoping I can find something else about this family.

I believe John Rooney's father was also John, but don't know anything else .

Is Killala a town? Is Backs a parish? What are they like?

I would really appreciate any information on these families. Thank you so much for your assistance!