I find another family (Concannon 207532 is M222+) linked to the Ui Maine who is M222+. (The O’Concannon are described as being is limited to Co. Galway plus they are assumed by some to be members of Ui Maine.) Here is what IHM web page says: Ui Diarmada: Ó Concheannainn (O'Concannon), said to be a sept of the Ui Maine? (by McLysaght), were lords of Ui Diarmada in the parish of Kilkerrin, County Galway, from the 11th to the 15th centuries. They claim descent from Cú Chenand, son of Tadhc mac Muirchertaigh, who was killed about 991. The genealogies of the Book of Ballymote place their descent through the Sil Muiredaigh of Uí Briúin, under the heading Genelach Diarmata Find mc. Tomaltaig. A lineage there is cited as Murgius (of 1037), son of Uatu, son of Cú Cenand, son of Tadg, son of Muircertach, son of Ailill, son of Uatu, son of Datláech, son of Diarmaid Find, son of Tomaltach, son of Murgal, son of Indrachtach, son of Muiredach muillethan. O’Concannon have the same origin as the Ui Briuin pedigree of the O'Finaghty, i.e. descending from Indrachtach, son of Muiredach. I also read that a Ua Fallomuin of Clan Uatach of Ui Briuin was Maer (Steward) of Ui Maine in 1169. Had Siol Muireadhaigh (Seed of Muiredach from above) prior to the Norman invasion settled families in the Tricha Cet (Cantred) of Ui Maine and this is the reason why M222+ families are found in within the lands of Ui Maine?
To muddy the waters, IHM has this list of kings of the Caille Fallamhain: For 851, Congalach filius Irgalaig, rex Coille Follamhain, died. For 882, Maelduin, son of Aenghus, lord of Caille Fallamhain, died. For 890, … Innreachtach, son of Maelduin, lord of Caille Follamhain, were slain …. For 921, Fiachra m. Cathalain ri Coille Follamhain. For 1016/17, Gilla Crist ua Lorcáin, ri Caille Follamhain, was slain. For 1017, ua Clérchéin, tigherna Caille Follamhain. We know there are two O’Larkins families from the Midlands: the kings of Caille Follamhain and another belonging to Clann Innrachtaigh mic Maelduin. This Clann Innrachtaigh mic Maelduin is the family I am wondering are in realty Clann Innrachtaigh mic Muireadhaigh of Ui Briuin for they are (Larkins) M222+. However I note a Innrachtaigh mic Maelduin was king of Caille Follamhain and would be a possible forefather to Ua Lorcáin (Ua Clérchéin). Are Clann Innrachtaigh mic Muireadhaigh outsiders from Meath? And mis-associated with both the Ui Maine and Ui Briuin?