The patronym would come from the old Germanic Christian name THEUBALD which means DARING PEOPLE. In Latin, it became THEOBALDUS , then THÉOBALDE at the Francs. The grand-grandson of Clovis, king of the Francs, and son of Théodebert 1st, bore the name of Théobalde or Thibaud. Died into 555, he was the King of Austrasie, Eastern kingdom of Gaule Roman or Gaule Belgium. Established into Burgundy as of 5th century, the patronym changed with the liking of people and according to the political allegiances and religious into Thibaud, Thibaude, Thibault, Thibeault, Thibaudeau, Thiboutot, etc. It is said that Thibaudeau is the Poitou variation of Thibaud. The last three voyels "eau" means "son of". In this case, Thibaudeau is the son of Thibaud. Thibaude (in French), it is also the name which one gives to a duffel, a thick fabric part that one places between the ground and a carpet or a fitted carpet. A remote ancestor had to work in this field!
I am also looking for info about the Tibeaudo of Ireland.Please look at :