Old county councillors initially want luxury food and new horse (16)

'old county councillors initially' is the definition.
I know nothing about this answer so I can't judge whether this works.

'want luxury food and new horse' is the wordplay.
I cannot really understand how this works, but
'want' could be 'lack' (synonyms) and 'lack' is present in the answer.
'food' could be 'manna' (manna is a kind of food) and 'manna' is found in the answer.
'and' could be 'n' (common abbreviation for 'and') and 'n' is present in the answer.
'horse' could be 'shire' (shire is a kind of horse) and 'shire' is found within the answer.
A single letter 'c' remains which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?