Just trying to put together what has been found so far, you can look up these finds on Irish Genealogy and FamilySearch both free to use.
From your post
Benjamin John Simpson possibly born around 1820 in Celbridge Ireland Born England, died 1901
Hannah Simpson his wife maiden name Smith possibly born around 1820 somewhere in Kildare her mother was Jane Smith ( maiden name Harkiness), Likely known as Hannah but born Anne Died 1904
I believe based on a census in 1901 Benjamin and Hannah Simpson resided in Big lane, Celbridge, Kildare, Ireland and belonged to the Church of Ireland. Benjamin may have been a farmer.
Benjamin and Hannah had 14 children beginning with:
Elizabeth Anne born May 28, 1843, died Sept 6, 1879 Married George Henderson 1867, married Peter Tyrrell 1870 died 1879
Benjamin John born October 14, 1844
Emma Frances born June 15,1846 married Peter Conner 1870
William Henry born Dec 27,1848, died Dec 26, 1914
Robert Frederick born May 3,1850
Arthur Richard born Feb 15, 1852
Alfred Thomas born Dec 3,1853, died Dec 6, 1859
George Christopher born Nov 10, 1855, died Mar 17, 1900
Harold Frank born May 9, 1859, died Sept, 27, 1900
Ernest shires born Dec 26, 1859 ( my great grandfather) died Oct 22,1935(East Orange, NJ, USA)
Perceval Charles born Jan 10, 1861, died Oct 6, 1869
Cecil Edward born Jan 23, 1863
Theophilus Hare born Oct 4,1864 likely died 1917 Massachuetts
Louis Alfred born April 8,1866 Married Rebecca Stephenson 1888 USA returned to Ireland