Several hymns have the 'welcome table' verse, both white and black.
The song collected by Creighton was discussed in thread 93754, along with a few others.
Tunes and intent differ and most are collected as separate songs although they may contain 'welcome table' as a floating verse.

The verse floats into a number of spiritual songs.

I will post a rather full version of "Welcome Table" from the Carolina Low Country later today in that thread.

Origins Welcome Table