There’s a birth for Emily Kelly registered on 19.12.1880 in Dungannon which may fit. No other Emily Kelly births in Tyrone around that time. Parents were John Kelly & Rebecca Hadden. Judging by the GRONI site, there looks to have been about 12 children to the marriage. This may be some of the family in the 1901 census:
http://www.census.nationalarchives.ie/pages/1901/Tyrone/Clonavaddy/Moghan/1735654/
and in 1911:
http://www.census.nationalarchives.ie/pages/1911/Tyrone/Clonavaddy/Moghan/864682/
Probate extract from PRONI site:
Probate of the Will of John Kelly late of Moghan County Tyrone Farmer who died 2 January 1904 granted at Armagh to Rebecca Kelly Widow
Full will is on-line on the PRONI site and mentions numerous of the children.
http://www.proni.gov.uk/index/search_the_archives/will_calendars.htm
Also:
Kelly Stewart of Moghan Castlecaulfield county Tyrone farmer died 1 November 1923 at The Hospital Omagh in said county Administration Belfast 16 April to Annie Maria Kelly the widow. Effects £558.
Kelly William John of Moghan Castlecaulfield county Tyrone farmer died 28 October 1953 Probate Londonderry 12 April to Meta Kelly widow of testator and David James Ewing farmer. Effects £5867 0s. 10d.
Kelly, Robert James (15) of Moghan Castlecaulfield county Tyrone farmer died 23 August 1959 Probate Londonderry 14 January to Thomas Victor Burrows farmer. Effects £253 18s. 3d.