In E/W there is no surname shown for the child on a birth entry until 1969, so what you are seeing in the index is the surname of the father, or mother, or sometimes both, depending on their marital status.
It sounds like the entry was subject to a correction, in which case there would be no other entry to get, just the single entry showing the changes.
If there was a re-registration, then there would be a separate entry to look at.
Without seeing details of the names etc it is impossible to say for certain which it was.