Was there ever a village or town or townland in Fermanagh called "Ihi?"
You can see all the townlands in Fermanagh on this site. There?s none called ?Ihi? nor anything much like that. The name ?Inch? & ?Inish? (which mean island) does appear in quite a few place names. That?s about the nearest I can think of.
The gh in many place names is silent - almost like an intact of breath. One possibily could be Aghama in Magheraculmoney Parish. If misheard or to an unfamiliar ear the A-ama could e interpreted as Ihi.
Bob Graham