Bailies of Newtown Northern Ireland

My father William Jackson Bailie was born at Tullyvallen, Newtown, Northern Ireland in October 1899. He moved to New Zealand in 1925 and married one Inez Rogers. I was the only child of the marriage. He had a sister named Lena (Mrs McCullagh)who lived in New York and a brother named Tom who lived in Canada.
My fathers parents were William and Minnie Bailie who were farmers in or around Newtown Northern Ireland. His mothers maiden name was Minnie Conn. My father died in April 1974 at Waikato Public Hospital Hamilton New Zealand. I am trying to trace any connections and would appreciate any communication that may assist.