The link I made above to the Carters' "1941" recording is of the 1934 version (Victor 27494); 1941 is the date issued.

Charles Wolfe says in his notes to the Carters' May 7, 1935 version (that is, No. 2) in an accompanying book to In The Shadow of Clinch Mountain (Bear Family):

"East Viginia Blues No. 2 was a follow-up to the Victor version the Carters recorded jusy a year before; it is similar, but revised enough to merit the No. 2 on the title. Though some of the lines here date back to 17th-century England, others were familiar throughout the Appalachians, often in lyrics called Dark Hollow Blues or Greenback Dollar. It sounds like A.P. strung together a series of familiar stanzas, thoug some of them ("I am dying, captain, dying") seem less relevant than others."

"Some of the lines", not the song itself, date back to the "17th century."

~Masato