This death notice has Catherine aged 88, mother of Crosby and a Mrs Southall as Catherine Mary Gillard, 4th column:
http://nla.gov.au/nla.news-article1567629610191/1916 Catherine GILLARD father George, no mother named SYDNEY
Her marriage: 577/1878 Catherine KELLY to William GILLARD SYDNEY
The mentioned daughter's death:
10674/1928 Kate SOUTHALL father John O and mother Katherine SYDNEY
Death notice:
http://nla.gov.au/nla.news-article16479386Jamjar
Added: Marriage in U.K.:
September Quarter 1846
Leeds 23 330
Kelly John O'Beirne and Catherine Mary Smith
Birth:
KELLY, CROSBY SMITH mmn SMITH
1847 S Quarter in LEEDS Volume 23 Page 448
Possible daughter: KELLY, ANN mmn SMITH
1849 S Quarter in LEEDS Volume 23 Page 432
A possible 1841 census for Catherine with birth year 1828 and father George:
https://familysearch.org/ark:/61903/1:1:MQPD-7H8