Donna:
Looks like the surname in Ireland was Sheehy rather than Sheedy.
The family was not from Ballyporeen but rather from North Tipperary in the parish of Kilmastulla.
The 1911 census indicates Anne had five children and only three were living in 1911.
I located Michael's birth record but he is not in the 1901 and 1911 censuses unless he was Timothy.
Let me know if you have questions.
Roger McDonnell
See third record for marriage in 1888 https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_ret...
See first record at this link for Michael's civil birth record https://civilrecords.irishgenealogy.ie/churchrecords/images/birth_return...
1901 census http://www.census.nationalarchives.ie/pages/1901/Tipperary/Burgesbeg/Gor...
1911 census http://www.census.nationalarchives.ie/pages/1911/Tipperary/Burgesbeg/Gor...
1915 death of Anne fourth record https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_retur...
1917 death of Henry seventh record https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_retur...