"They've borne my mother's picture
From its accustomed piece,
And let beside my father's
A younger, fairer face;"

I think

Line 2: Piece should be place
Line 3: let should be left

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Ooops! I got sloppy at the end. Thanks for the heads-up. I made the corrections - line 3 is "set," not "let."

Sheet music is at Duke and American Memory Collection (Library of Congress). I haven't seen sheet music at UTK before (University of Tennessee Knoxville) - that's a great "find," and a good addition to their songbook index.