Back to this-
Belfast Telegraph, 28 Jan.1959: ... (Thursday), to City Cemetery. —Deeply regretted by her sorrowing Son-in-law, Joseph Green, and Grandsons, Jim and Billy, 19 Wensley Street. Gone to join her loved ones. CLELLAND—January ... 1959, at Royal Victoria Hospital, Esther, beloved mother of James Gibney ...
Esther Briars married (1899) Patrick Gibney & had son James (1905) and her son-in-law Joseph Green which fits with daughter Esther Briars marriage to a Joseph Green. Patrick Gibney & wife Esther seem to be separated by 1911 (Esther's illegitimate daughter born 1909). However, above death notice is under Esther Clelland!
Still a bit to sort out yet...