"Across the Hills" is indeed a different song from "Across the Hills of Home."

"Across the Hills" was written by Leon Rosselson and recorded by The Ian Campbell Folk Group on the LP "Across the Hills," in 1964. This LP plus another one were combined and reissued on one CD called "This Is the Ian Campbell Folk Group/Across the Hills" released in 1996. The song "Across the Hills" also appears on the 4-CD anthology "Transatlantic Story," 1998.

Lyrics copied from http://mysongbook.de/msb/songs/a/acrossth.html

ACROSS THE HILLS
(Leon Rosselson)

Across the hills black clouds are sweeping
Carry poison far and wide
And the grass has blackened underfoot
And the rose has withered and died

But the rose is still as red now and the grass is still as green
And it must have been a shadow in the distance you have seen
Yes it must have been a shadow you have seen

Can't you hear the children weeping?
Can't you hear that mournful sound?
No birds sing in the twisted trees
And the silent streets are round

I can hear the children laughing in the streets as they play
And you must have caught the dying of an echo far away
Yes it must have been an echo far away

Can't you see the white ash falling
From the hollow of the skies
And the blood runs red from the blackened walls
Where our ruined city lies

I can see the bright sun shining in the park on the stream
And you must have felt a shiver from the darkness of a dream
Yes it must have been the darkness of a dream

And it shall reap a hellish harvest
Make the desert of this land

But the rose is still as red now and the grass is still as green
Yes, it must have been a shadow you have seen