I do not think the details on the tree link are correct for Rose. They have her being born on the Isle of Mann in 1889 with a maiden name of Bridson. So, not correct.
I think the tree owner has gone by the marriage registration from 1968 where she did show as Bridson. I am guessing they don't have the original image of the marriage and have not been able to see that she is likely showing as either divorced or widowed and that her maiden name was Byrne. This is a common problem and you should only ever look at others' research as a possible clue, particularly where original key documents are not included.
But now I am guessing as I too have not seen any original documents!
From Cath earlier you have two possible marriages for her, with a Rose Byron showing as marrying a William Henry Bridson in 1958 and then a Rose Bridson marrying a Thomas Kneen in 1968.
You also have the burial details that GG has found which give Rose her correct age (66 in 1985 when she died, ie born c. 1919).The details GG posted were from the burial register. The gravestone details match what has been found so far.
You need now to really get some original documents to help you confirm and verify
I think you are on the right trail to find out about Rose's later years. Her marriages will hopefully give you details to be able to identify her parents and siblings back in Ireland (you think she was originally from Dublin herself?).
Monica