Thanks for the reply
If you suffer loss or damage through the deliberate actions (or negligence) of another person you
always have the right to demand compensation from them and, if necessary, to pursue them through the courts for such compensation. Any such court action would be a civil matter where the burden of proof is much lower than it is in a criminal court. (i.e. you wouldn't have to prove 'beyond reasonable doubt' that your neighbour stole your property, you'd only have to show 'based upon the balance of probabilities' that your neighbour owed you compensation).
Whether it's worth pursuing civil action depends largely upon your neighbour's ability to pay. If she's an unemployed drug addict, with no money, you can get as many court orders as you like but you still won't get a penny. Even if she's got money it could still be hard to get her to pay up.
If you want to consider civil action, your best course is to consult a solicitor. If you want to try a 'DIY' approach, your first step would need to be a formal letter to your neighbour (sent by recorded delivery or handed over in the presence of an independent witness) demanding that she pays you the money which she owes you as compensation for the burglary. The letter should state that if she doesn't pay the money within a certain period of time (perhaps 28 days) you will take court action.
If she doesn't pay up, you'd need to initiate a formal claim through the courts. See here:
http://www.hmcourts-service.gov.uk/infoabout/c laims/index.htm
If you got a court order against her, and she still didn't pay up, you'd have to seek enforcement of the judgement. See here:
http://www.hmcourts-service.gov.uk/infoabo