Timothy Buckley was a son of Cornelius Buckley and Mary Leonard.

 Timothy Buckley's first marriage to Mary Ahern 

Mary Ahern was a daughter of Daniel Ahern

Timothy Buckley (22), a labourer of Carrigathou, Coachford and Mary Ahern (22) of Caum married on 19 January 1864 in the Catholic Church in Macroom.  The marriage witnesses were Jeremiah Ahern and Eliza Ahern.

Location map

Children:

Mary Buckley, born 8 Nov 1864 at Mashanaglass, Macroom, Ireland

Honora Buckley, born in New York c. 1867

Elizabeth Buckley, born in New York c. 1869

Mary died around 1870

 Timothy Buckley's second marriage to Catherine O'Connell 

Timothy Buckley married Catherine O'Connell
 

Children born in New York:

Catherine A Buckley, born in New York c 1872

Josephine Louise Buckley

Cornelius Buckley

Julia Buckley

Patrick Buckley

Census 1870:
https://www.familysearch.org/ark:/61903/1:1:M86P-3BK

Census 1875
https://www.familysearch.org/ark:/61903/1:1:VTDN-Q3B

Census 1880
https://www.familysearch.org/ark:/61903/1:1:MZZS-GLV

Death
Timothy Buckley on Find A Grave  https://www.findagrave.com/memorial/42369465/timothy-buckley