We read in The History of Ireland by Geoffrey Keating, that a descendant Duach Galach, Duach Teangumha, son of Fearghus, son of Muireadhach Mal, son of Eoghan Sreibh, son of Duach Galach, son of Brian, son of Eochaidh Muighmeadhon, was king of Connaught seven years at this time, and he fell by Eochaidh Tiormcharna [1]
Fergus, the son of Muiredach Mac Eogan, was a King of Connaught [2]
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M > Mac Muiredach > Fergus Mac Muiredach
Categories: Irish History, Kingdom of Connacht | Estimated Death Date
The sons of Fergus are: 1. Dauí Tenga Uma Mac Bruin (abt.0425-0499) (NOT Brión (Macechach) mac Echach Muigmedóin (abt.0350-abt.0425)!) , 2. Eochaid Tirmcharna mac Fergusso (abt.1500-abt.1501) 3. Brion Fergna mac Fergus (abt.1500-abt.1510) (DATES ARE PLACEHOLDERS!) (Ui Briuin Breifne), and 4. Ercc.
The spreadsheet below demonstrates the differences between the 2 'Daui' based on a genealogy/DNA corroboration. Fergus is indeed the father of Daui Tengae Umai ; Brian is the father of Duach Galach. It also continues with the genealogy of Fergus sons Eochad Tirmcharna and Daui Tengae Umai.
https://docs.google.com/spreadsheets/d/1L158qBYxYKqikwQ0UBaLmkXYlceIXwPh/edit#gid=2115689950
More information and DNA data: Comparative Analysis of the Descendants and DNA of Conn Cétchathach Ceadcatha
edited by Michael Rowley