> I noted a similarity in Finnbheara and wonder if the
> two are somehow related? As Cailleach Bhe/ara means
> Old Woman of Beare, would Finnbheara mean "bright
> one, or fair one" (of) Bheara?
As you noted, the "old woman" is apparently identified
with the Beare Peninsula, Béarra in Modern Irish, and
"Bérre" in Old Irish. I don't recall every seeing a
good explanation of the placename's origin, but maybe
someone on the list can rescue us.
As you also noted, the "beara" in Finnbheara (the Elf
King of Connacht) does not have a long 'é' (or a double
'rr'), which is a good indication that it has nothing
to do with the placename "Béarra". The meaning of "beara"
in the personal name is also a mystery to me. Although
"beara" could be the genitive sg. of "bior", that doesn't
seem to fit here. For what it's worth, there is an estuary
("gaoth") in Donegal called Gaoth Beara.