It's pretty much just Am and G. Because I feel slack just submitting 2 chords, I'll elaborate!

Am1]0 (x02210@1)-----you can do a variation on this when the line changes, like this-----|
2]1------------------------------------------------------------------------1-|
3]2------------------------------------------------------------------------2-|
4]2------------------------------------------------------------------------2-|
5]0----------------------------------------------------------------------2-0-|
6]---------------------------------------------------------------------------|


G1]3---OR-3-| (320003@1)2]0------3-|
3]0------0-|
4]0------0-|
5]2------2-|
6]3------3-|

Listen to the song to get the timing of the chord changes.

Am (x02210@1)           G (320003@1)           AmGo (x02210@1)son, go down to the water
And see the women weeping there
Then go up into the mountains
The men, they are weeping too

Father, why are all the women weeping?
They are weeping for their men
Then why are all the men there weeping?
They are weeping back at them

G (320003@1)       AmThis (x02210@1)is a weeping song
A song in which to weep
Am (x02210@1)           GWhile (320003@1)all the men and women sleep
This is a weeping song
But I won't be weeping long

Father, why are all the children weeping?
They are merely crying son
O, are they merely crying, father?
Yes, true weeping is yet to come

This is a weeping song
A song in which to weep
While all the men and women sleep
This is a weeping song
But I won't be weeping long

(It's the same chords here, as usual, but you can play softer or stress the bass 
for this part if you like. )

O father tell me, are you weeping?
Your face seems wet to touch
O then I'm so sorry, father
I never thought I hurt you so much

(play as usual)

This is a weeping song
A song in which to weep
While we rock ourselves to sleep
This is a weeping song
But I won't be weeping long
But I won't be weeping long
But I won't be weeping long
But I won't be weeping long


Bye!