You are reading too much into the wording of the Act Graham.
The Superintendent Registrar has a statutory duty to not only allow searches to be made in his/her indexes but he/she also has a statutory duty to supply a copy of any entry in the register.
Not any specified entry or any resultant entry but any entry.
There is no requirement on the person asking for a certified copy of any entry to supply a reference.
The Marriage Act, 1949 puts it this way-
“64.- (2) Any person shall be entitled at all reasonable hours to search the said indexes, and to have a certified copy of any entry in the said marriage register books under the hand of the superintendent registrar, on payment to the superintendent registrar of the following fee, that is to say :-
(a) for every general search, the sum of five shillings :
(b) for every particular search, the sum of one shilling : and
(c) for every certified copy, the sum of two shillings and sixpence.”
The Births and Deaths Registration Act, 1953. states-
“31.- (2) Any person shall be entitled at any time when the register office is required to be open for the transaction of public business to search the said indexes, and to have a certified copy of any entry in the said registers under the hand of the superintendent register, on payment by that person to the of the superintendent registrar of the following fees respectively, that is to say-…”
Note the ability of a Superintendent Registrar to charge a fee for a Particular Search of the indexes of the marriage register was repealed by the Statutory Instrument 1968 No. 1242 The Registration of Births, Deaths, Marriages (Fees) Order 1968.
The other fees as I am sure you are aware have of course been increased almost annually.
Cheers
Guy