I've been familiar with the Carter version. It was on their 'Mid the Green Fields of Virginia (RCA Victor LP) released in 1960s. Incidentally, this is not the one asked for, but there's a song under the same title The Picture on the Wall by J. P. Skelly (New York: Gordon, S. T., 1880), which has the chorus:
The faded picture of my mother,
It hangs above me on the wall.
How happy I would be, could I nourish into life
The picture of my mother on the wall.
~Masato