In answer to your questions, where I can:
John KEARNEY (was from Collon, Co Meath originally)
He died on Dec 25 1897 in the Mater Hospital, Dublin aged 43
Group ID Number 4226793 –
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_returns/deaths_1897/05849/4657196.pdfKate KEARNEY
She died on May 23 1907 in the Rotunda Hospital in the presence of her son Peter (Peadar)
Her age given as 46, address as 38.1 Gloucester Street, an Insurance Collector’s widow.
Group ID 4909623 Dublin North -
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_returns/deaths_1907/05532/4550644.pdfAt the time of their marriage (1881) the addresses given would have been their then current residence.
The most probable baptism record for her found to date was on Sept 30 1859 in Slane
Parents shown as James McGUINNESS & Mary HICKEY (who married on Oct 04 1856 in Dunleer)
They had eight children as shown before plus Hugh, who died an infant, found since.
Hugh born July 07 1893 (registered as Unknown Kearney), died on Aug 24 1896.
1901 census returns are for
Kate KEARNEY
http://www.census.nationalarchives.ie/reels/nai003762764/in house 28.5 in Summerhill (Mountjoy, Dublin)
She is shown with a Kate LEESON aged 49 and deaf, a visitor.
Kate LEESON is on the 1911 census at house 16.7 in Frederick Street, North (Rotunda, Dublin)
with her sister Bridget Hickey and both are shown as born in Drogheda.
http://www.census.nationalarchives.ie/reels/nai000072414/The Hickey name could indicate that she was a relative of Kate McGuinness-Kearney.
Kate Leeson died on Dec 19 1925
People in institutions were shown as their initials only on census returns
I believe the KEARNEY children are in house 97.3 in Cabragh (Castleknock, Dublin)
http://www.census.nationalarchives.ie/pages/1901/Dublin/Castleknock/Cabragh/1268764/There are possible matches for Margaret Mary (MK as 13 or 14), Mary (MK as 11 or 13), Kathleen (KK as 9 or 12), and also the living boys - Patrick (PK as 13), John (JK as 11) and James (JK as 4 or 5).
It is difficult to definitively prove these initials match to their names without checking the specific institution records. Kathleen Behan referred to her time in Cabra in her life time and I believe this is the correct location for at least her and Margaret.
Proving these records is something I have not had time to do yet.
This is possibly Peter/Peadar KEARNEY on the 1901 census, mistranscribed as KEANNEY, at
house 42 in Upper Sackville Street (North City, Dublin) as a servant
http://www.census.nationalarchives.ie/reels/nai003776240/He is on the 1911 census at house 46.3 in Corporation Buildings (North Dock, Dublin)
http://www.census.nationalarchives.ie/reels/nai000068479/By the 1911 census all of the Kearney daughters are married and on the census returns as their married names.
Your Q? - I can't see the Kearneys in Dominic/ck Street in 1911, can you help?It was the Bourke family (Margaret Kearney) who were living at house 10.2 in Dominick Street, Lower (Rotunda, Dublin) in 1911
http://www.census.nationalarchives.ie/reels/nai000090225/Our Bourkes originated in Kilkenny - I don't believe that the family in Gardiner Place are related but I don;t rule anything out (or in) until it's proven! Thank you for the information.