Have a look on your LA website.
Take the time to search out the required department, or many LA have a generic email request system.
After a little time its best to chase up as although it may be a surprise to some they wont be sitting around, but are probably doing the work of three or four people following an exercise in rationalising staff numbers.
If you ring make sure you get the persons name you speak to and try to get direct dial numbers.
Unlike the views of some on here, people in LA' are just trying to do a decent job in the face of ever restricted finances and a pretty negative view from many members of the public.
I'm afraid its a fact that county council members do get immediate staff attention to a request, so if you want to jump the queue then just get onto your County Councillor.
Then, while staff have to pay attention to people who wont wait for due process, you get to detract from the service being provided to members of the public or/and..
you could interpret a rejection of a request as 'I'm right and you're wrong,' usually followed up with a 'I pay your wages remark.'