There's a recording of the song by Woody Guthrie and Cisco Houston on a Smithsonian/Folkways recording called Woody Guthrie Sings Folk Songs

BROWN EYES
(as recorded by Woody Guthrie with Cisco Houston)

CHORUS
Those brown eyes I love so well
Those brown eyes that I long to see
How I long for those brown eyes
Strangers they have grown to be

Just a year ago today
When my brown eyes went away
Up in (the) heaven I long to be
Where a brown eyed angel waits for me.
CHORUS

Last night I passed her on the street
I bowed my head 'cause I could not speak
Another man was at her side
Soon, I thought, she'd be his bride.
CHORUS