There are no Oddson (and variant) households in the 1901 Irish census, so I?d say that line may have died out.
The only Mebin families I could see were in Killyneedan, Annaghananam & Tullylaghan Co Tyrone (All in the parish of Desertcreat). All were Presbyterian (indicating Scottish origins, typically at the time of the Plantation in the 1600s).
If you get no other leads, you could try around those three townlands. However there are no church records for the 1600s there, as far as I am aware, and so you are unlikely to be able to confirm your information from those sources. I?d also be very surprised if any local families knew their own history back to the 1600s. But good luck anyway.