I never seen Rise up Singing, for some reason or other. Another American geared words-with-chords book which is quite useful is Folksinger's wordbook by Fred and Irwin Silber. It's not very portable, but that has its advantages, with all the people in threads here who compain about the practice of it being used as a hymn book..

However, no one book can carry all the range of songs you want, in the version you want, unless you put it together yourself.

For Irish song's - or rather "Folksongs and Balads popular in Ireland" - the four pocket sized volumes published by Ossian, and put together by John Loesberg is very handy, with words, tunes and chords and a few notes thrown in. But it really needs a fifth volume now, because it's more that 10 years since the fourth came out, and there's lots of great songs going around that aren't in it.