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| Mac Thréinfhir | Traynor, Mac Creanor: líonmhar: Oirghialla, an Dún, Lú, an Mhí. Sloinne a bhí in Oirghialla riamh. Fréamh: tréan + fear .i. laoch, gaiscíoch. |
| Trainor | numerous: mainly E Ulster. Ir. Mac Thréinfhir (strong man). A sept of Oriel (Armagh-Monaghan), which also occurs as Mac Creanor, q.v. |
| Traynor | numerous: S Ulster, Louth-Meath etc. Ir. Mac Thréinfhir (see Trainor). |
| Treanor | numerous: S Ulster, Louth-Meath etc. Ir. Mac Thréinfhir. See Trainor. |
Parishes where McCrainor and a second surname are both baptised.