I assumed it was a spelling error for Tullylish here in Co Down, so just in casein
http://www.ancestryireland.com you buy credits to get details
the only reference I could find was
LYNCH PATRICK J 1910 father EDWARD Down
in
the 1911 census suggests all the Lynch living in Loughans were born in Co Monaghan with the family then as
42 in Loughans (Tullylish, Down)
Lynch Anne 63 Female Head of Family Roman Catholic Co Monaghan - Cannot read or write - Widow
children
Lynch Anne 33 Female Daughter Roman Catholic Co Monaghan Drawer in Flax Spinning Mill Cannot read or write - Single
Lynch Kate 29 Female Daughter Roman Catholic Co Monaghan Spinner in Flax Mill Cannot read or write - Single
Lynch John 26 Male Son Roman Catholic Co Monaghan Machine Boy in Flax Mill Read and write -
in 1901 census the family lived at 41 Loughans Hill St File4 with a sister Alice aged 22
in 1901 census only is a different Lynch family
21 in Loughans (High Street) (file 3) (Tullyish, Down)
Lynch James 32 Male Head of Family Roman Catholic Co Down Millorker in Thread Factory Cannot read - Married Lynch Eliza 29 Female Wife Roman Catholic Co Down - Cannot read - Married
children
Lynch Catherine 3 Female Daughter Roman Catholic Co Down - Cannot read - Not Married -
Lynch Mary 2 Female Daughter Roman Catholic Co Down - Cannot read - Not Married -
Lynch Patrick 1 Male Son Roman Catholic Co Down - Cannot read - Not Married -
in 1911 census I think the above family were entered as
45 in Castle Hill Street (Gilford Town, Down)
Lynch James 33 Male Head of Family Roman Catholic
Lynch Leiza 40 Female Wife Roman Catholica
Lynch Kate 13 Female Daughter Roman Catholica
Lynch Patrick 11 Male Son Roman Catholica
Lynch Alice 9 Female Daughter Roman Catholica
then I went back to the beginning clue
81 in Saul Street (Downpatrick, Down)
Lynch Patrick 54 Male Head of Family Roman Catholic Co Down Printer - Compositor Read and write - Married - - -
Lynch Margaret 49 Female Wife Roman Catholic Co Down - Read and write - Married - 13 3 3
children
Lynch Mary 11 Female Daughter Roman Catholic Co Down Scholar Read and write Irish and English - - - -
Lynch Sarah 9 Female Daughter Roman Catholic Co Down
Lynch Patrick Joseph 6 Male Son Roman Catholic Co Down -
Scholar Read and write -
the wife first name is wrong
have you any other clues