Her forenames were found first in the 1911 census of Ireland and she was staying with one of her daughter and had another one there too.

She was born in 1837 in England.

In the 1901 census of Ireland she was widowed and living with her daughter Marion and three servants in Achgo, Co. Dublin, Ireland.
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I wonder if this might have been her death:

First name(s) Mary Elizabeth
Last name Clarke
Age at death 87
Birth year 1837
Registered year 1924
Registered quarter/year Jul - Sep 1924
Registration district Thomastown
Volume 4
Page 379
County Kilkenny
Country Ireland
Record set Irish Deaths 1864 - 1958

Yes, as the probate entry of 9 Jan 1925 gives probate to Harriet N Butler Married Woman, her daughter as shown by the 1911 census.
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Her probate entry in Ireland:

CLARKE, Mary Elizabeth [1] 9 Jamuary [1925] Probate of the Will of Mary Elizabeth Clarke late of Maiden Hall County Kilkenny Widow who died 16 July 1924 granted at Kilkenny to Harriet N Butler Married Woman  Effects £3394 13s. 0d.

Harriet Neville Butler née Clarke was her daughter.
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Their marriage index:

First name(s) MARSHAL NEVILLE
Last name CLARKE
Marriage quarter 3
Marriage year 1864
MarriageFinder ™ MARSHAL NEVILLE CLARKE married one of these people
Mary Elizabeth Pearson, Caroline Eliza Clarke
District Cheltenham
District number -
County Gloucestershire
Country England
Volume 6A
Page number 667
Record set England & Wales Marriages 1837-2005
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