Irish Family History Foundation is another pay-per-view site that has indexed many Catholic church records -- including as far back late 1700s in County Tyrone. They also have civil record indexes and some Church of Ireland and Presbyterian indexes.
http://tyrone.brsgenealogy.com/Their record-access costs less than Emerald Ancestors; I often use E.A. and LDS Search Pilot for basic searches and then order the identified records through IFHF. You can choose a county and search available records by county, or search their entire collection of Ireland databases without a specific county. You get a typed abstract which sometimes has errors, but if it's a name and person of interest, you can order a copy of the original handwritten certificate from the GRO in Dublin or Roscommon or a branch office.
Through IFHF, you can search for Michael Hannon/Hanna's marriage c. 1875-1878 as well as Henry Crudden's (c. 1855-1865?), and also search for their brides' names and other records.
Depending on what you may know about Henry CRUDDEN, I'd also search for him as "McCrudden" and "M'Crudden." Griffith's Valuation shows more individuals named "Mc"+ and "M"+Crudden (including a "Henry" in Co. Down) than as plain "Crudden." Your Henry's family might have dropped the prefix at some point in time -- going back to a more ancient ancestral name, though I doubt they'd have thought of it that way!
Good luck with your search,
Annie