Decidedly not. Wales, Scotland, and Northern Ireland were previously independent kingdoms that were integrated into a single realm. Cornwall, on the other hand, has no such historical claim to home nation status (unless one considers the Dark Ages, which shouldn't really count anyway).
Northern Ireland was never an independent kingdom and has no historical basis as a seperate entity prior to partition.
And I know the language is dead now, but the same is basically true of Welsh, Gaelic and Irish. There are revival attempts of course, but no one really speaks those today as their main native tongue.
According to the 2002 Census, 2,180,101 people or 41.9% of the Irish population claimed ability to speak Irish. 331,047 (6.3%) claimed to speak Irish on a daily basis.