Many songs were written anonymously and more than likely in Irish. There is a long history of the oral tradition in Ireland and especially if you were a travelling bard very few of your songs were likely to make it into print. Many of the ones people are familiar with today were written by well known figures in English.
Just to mention one or two others; "Ned of the Hill" (In Irish "Eamonn an Chnuic") is attributed to Samuel Lover (1797 - 1868) and deals with Edmund Ryan (1670 - 1724). "Rory Of the Hill" by Charles J. Kickham (1828 - 1882) refers to Rory O'Moore (1620 - 1655). An interesting item relates to a song called "Come To The Bower" which was allegedly played by Sam Houston's men at the Battle of San Jacinto in 1836.
I was surprised to learn that there are two statues of Robert Emmett in the US. One is in Embassy Row, Washington DC and the second one is in San Francisco's Golden Gate Park.
Admittedly most of the rebel songs composed in the 20th century relate to the War of Independence and to later events mainly in Northern Ireland.
To conclude, every country has its songs dealing with its history and to ignore them would be a sad loss. For example Jesse James is remembered beautifully in the ballad "Jesse James"; "Sam Hall" deals with the execution in 1701 of Jack Hall, a chimney sweep. "The Bonny Earl of Murray" remembers the murder in 1592 of the Earl of Murray probably at the instigation of King James VI. "Casabianca" is a reference to the Battle of the Nile in 1798.