Let me offer some explanation, please, for you have managed to ask a really big question.
With the understanding that the transverse flute could be so old that nobody really knows just how old it could be, it appears that the transverse flute could have its European origin within the past several centuries. The transverse flute of the Renaissance era, for instance, was a very simple instrument, and then in about the year 1695 the “one key” flute was developed, as the predecessor of all modern flutes.
The one key flute became known as the original “Baroque” flute, and that flute eventually had more, and even more, keys added to it.
Then, at sometime around the mid-nineteenth century, the multiple-keyed “Baroque” flute became adopted by the Irish, for use with the traditional music of Ireland.
However, the Irish music of that time apparently didn’t need the additional keys, by and large, and so the tone holes of the additional keys often were blocked off.
Long story short, that’s how today’s modern, six holed Irish flute was developed.
So, to address your question, the transverse flute and the Irish flute are one and the same thing, all else excepted.
As you could imagine, that’s just the beginning of the story, but please come back, for there are many here who could be glad to answer any questions you could have.