I can't add much to your search at the moment, but I am researching the same surname in Ireland, which I'm sure must be rare. I have a bit of research that was given to me by a distant relative, but I'm still in the process of confirming it.
My Tibeaudo lines (it has so many spellings, but most commonly as Tibeaudo or Thibeaudeau) reportly comes from France originally but was in Ireland for at least three generations. The areas Offaly, Tipperary, Laoighis, Clonaslee and Kilbarron are commonly given. Names that are very common are Joseph, Oliver (and Olivia) and Anselm. I am wondering if your A. Tibeaudo might be Anselm. Occording to my information Joseph Oliver Tibeaudo married Harriett Edghill in 1825 in Clonaslee. The Edghill family and several Tibeaudo's went to Austrailia about 1860, but Harriett went to Canada with her children (she was a widow). Joseph's father is reported to be Oliver Anselm Tibeaudo and his father as Anselm Tibeaudo.
I'm hoping that we might be able to share research. I imagine it is an extremely rare name in Ireland.
I will look through my notes and see if I can add anything to this.
