Many thanks.
I have been in touch with the Lincolnshire Archives as I did manage to find some records in the collections catalogue. They have been very helpful and I now have a list of record references together with some links into trade directories.
Whether I will ever be able to access these records directly or afford to be able to hire a researcher is another question.
Clive
ps If anyone else is looking for this specifically the information is:
From 1881 until 1903 the management of the school was in the hands of the Firsby United District School Board. In 1903 the School Boards were abolished and the management of the school passed into the hands of the Lindsey County Council.
The following items relate to the school and its management:
SR/504/1/1 Managers' minute book, 1910-1943
SR/504/8/1 Head Teacher's log book, 1881-1904
SR/504/8/2 Head Teacher's log book, 1904-1929
SR/504/9/1 Pupils' Admission register, 1881-1940
SBR/032/3/1 School Board Treasurer's account book, 1890-1903 [may include salaries]
Lindsey County Council Education Committee/1903 Returns School Board/89