what about shooting sport for the local paper they might pay for shots they use?
Unlikely, they'd rather get the photos off of someone for free who just wants to be published.
I think the best way to make pocket money out of photography is to get some business cards together, get a web address together to display your photos (even if it's just a flickr gallery to host them on, mine is flickr.com/stphotographs) so it doesn't look too rubbish to the unknowing eye.
Hand out business cards to all your friends, your family, your family friends, your friend's family, neighbours, workplace, just anywhere and everywhere.
So far, I've done a paid horse shoot and a paid private prom shoot. I charged £60 for the horse shoot, and £70 for the prom shoot.
Fees for the horse shoot included the actual shoot at £45 and then £15 for 3 10x15 prints (i get them free at work.)
The prom shoot was £55 for the shoot, £8 for the travel, and then £7 for a 12x8 print.
In the future I have lined up a room shoot (i.e. someone wants to place a self-contained room in their house for rent, and wants decent photographs of it) and a family portrait shoot for a mate.
Just do a bit of everything, and research loads beforehand.
It is definitely easier than trying to sell prints to people. If they see it in a shop, they'll buy it. If they see it as a print that someone they know has printed, they think its lovely, but they don't want to buy it.