Could you specify what you mean by accuracy? Do you mean, is Ronnie Gilbert faithfully singing the actual lyrics of an actual song by the Hutchinson Family? Or are you wondering if the song itself is accurate in what it is saying about Lincoln and the US?

Gilbert's claim that the song got Lincoln elected is debatable. The 1860 election was divided among four candidates: that 4-way split, more than anything else, allowed him to win. But Gilbert was a protest singer, starting in the 1950's , and protest singers in general believed that singing the right song could make great changes in the world.

The song is real: Hutchinson Family singers did exist, and like many in New England they did embrace Abolition and with it, Lincoln. There are some other of their Abolitionist songs online, like this facsimile here .