Certainly the text of one hymn can influence another later one. The two texts are entirely different meters so the connection may be there, but not as close as different verses of the same song.
I understand later Shaker hymns (1906 would be later) were much more similar to hymns of other churches than the earlier ones that were much more in a 'folk' vein.
Look at Communion hymns for spiritual hunger.
I mentioned a Bread for the World Hymnal in the other thread.
Banquet of Praise : a book of worship resources, hymns and songs in the spirit of justice, peace and food for all / from Bread for the World.
It includes worship resources such as Calls to Worship, Prayers, Confessions, Responsive Readings and @150 Songs and Hymns. Some of the hymns are as I recalled, new words for old hymns. Others are completly new, words & music, others are old hymns found useful by BFW. They do not all include references to hunger.
150 is too many to look through, but it did bring some other types of hymns to mind. The Magnificat - lift the lowly & cast down the mighty; hymns about Jesus being the Bread of Life; hymns where we ask to be more loving or about going through life with responsibility for each other.
Try to get this hymnal if you can. In the light of Sept. 11 there are some really powerful texts in it.