Terry Yarnell, also formerly of the Critics, used to do a really good version of this too and he has, in fact, recently released a CD 'A Bonny Bunch' on Tradition Bearers which includes it.
My old Argo recording has long since disintegrated along with the tape I dubbed it onto but I do recall that Sandra Kerr was also involved in the chorus of the John Faulkner original recording of Sweet Thames Flow Softly