Since the ONLY record for the father of Felix, Joseph & Mary Ann being called Michael is his widow's death certificate (son Joseph the informant?) I tend to thing he either gave the wrong name or it was written down incorrectly.
What seems to be likely-
Henry Dempsey, cabinetmaker, m. Mary (c1836 Ire.-9 Oct.1911)
note: 1911 census gives Mary's birthplace as Meath
https://familysearch.org/pal:/MM9.1.1/X4ML-V3F1.
Joseph Dempsey (c1863 Dublin), painter, m. Alice
2.
Mary Ann Dempsey (c1865 Dublin) m. John Burke.
note: one of Mary Ann's sons called John
Henry3.
Felix Dempsey (c1868 Dublin-1933), painter, m.(1899) Mary Ann Turner
~ Mary Dempsey is a widow by 1881 census and Henry Dempsey most likely died in Ireland or England but I cannot find a death indexed for either country.
~ Although Felix Dempsey is supposed to be born in Dublin c1868 (after the start of registration) it's still possible that he, and his siblings, were all born before 1864 and therefore are not showing up in the birth index. Even though English census records indicate 'Dublin' the family might have lived in County Dublin or even Meath or Cavan (where mother Mary might have been from). Most church records are not online and not all records even survive.
~ It's possible that Henry died in Ireland before 1864 or certainly before compulsory registration became enforced in 1870.
~ earlier this evening I had discounted the Henry in 1901, Isaac, etc. but was in the middle of re-checking a few bits to see if Henry Dempsey, cabinetmaker could be found in Dublin. Will post more when I can
