I've received details of baptisms for some of Timothy and Anne's children, which show Anne's maiden name to be Tiernan. I've spent a bit of time searching on line records and established Timothy and Anne were married in 1878 in the Parish of Donore (Sheephouse falls within this Parish). I hope to apply for a copy of the marriage cert, which might give more detail, as the Parish record does not give father's forename.
Timothy's route appears to be: born ? Co Limerick c1858 -> married in the Parish of Donore, Co Meath in 1878 -> daughter Ellen born in Parish of Donore 1979 -> son Patrick born in Mallow c 1881 -> living in Midleton, Co Cork by 1882.
Unfortunately as far as I can see, none of this is of much help in the search for Timothy's place of birth.
Regards
Kibbie