Jerry & Eddie
I think my favourite 45s on Don Caesar's Gulf label are by the excellent Major Burkes, but this really obscure one by Jerry & Eddie (Edward Holton?) is pretty good too. “Hurry Up Little Girl” is a fine R & B shuffle, but 
Lonely Tears fits the bill of fare on the website rather better. A mournful horn laden ballad it has a really world weary lead vocal. I just love these soul duos.
UPDATE ~
I'm grateful to Alan Wheway for the update to the discography.