It seems the Willie Williams Group version has a nod towards the 'Po' Lazarus' ballad with a stanza 'It must have been Lazarus that the people was buryin'' and another 'It must have been the captain that the people was buryin''. The tune used by Williams is not a million miles away from the 'Po Lazarus' one either.

The 'Virginia Traditions' album cited above by Masato also has a version of 'Lazarus' by William Thompson and a group of 7 singers. This has a burying stanza which is unusual in the versions I have heard - they normally conclude with Lazarus being laid on the commissary counter or with his mother crying. This goes farther than the mother 'screamin' and a-cryin':

They buried ol' Lazarus (oh Lordy)
Buried him in a brand new casket (couplet x2)
Down in the grave (oh Lordy)
Lord, Lord, in his grave

In Virginia at least, there may have been a connection.

--Stewie.