I don't think ownership comes into the equation but consideration and obstruction do. I believe, but I'm not sure, that it's an offence to cause an obstruction and parking so that you block or restrict access is surely causing an obstruction.
You can make a Freedom of Information request and, as the previous poster said, this has to be replied to within 20 working days (this is the rule set down by the Freedom of Information Act). It is always best to be clear with your request as the Authority will only provide information relating to what is asked; they will not assume what information you require. For example, in relation to your issue, you could say "Under the Freedom of Information Act I would like to request a copy of all written correspondence (e-mail, letter, etc) involving councillors, xx Council employees and / or members of the public between the dates of 1 January 2010 and 14 June 2013 in relation to car parking and related issues on xx street". The Authority should acknowledge receipt of your request as soon as possible and confirm that they will respond within 20 working days. If they feel that the time to collate this information will be in excess of 18 hours they may charge you for it. You will have to agree to this - they won't just land you with a bill! Alternatively, they may come back to you and say, due to the time it will take, can they narrow the question down. In the example above they may ask if it's okay to give you the information from 1 January 2012 to the present day instead. What the Authority cannot do is say that the information is not available due to their own poor record keeping. This is not a valid excuse and you could complain to the Information Commissioners Office if this is stated. Within the correspondence that you have requested there may be references to individuals. Such references will be redacted by the Authority as they would otherwise be in breach of the Data Protection Act. On another note I would not get your hopes up regarding the introduction of a parking permit scheme. Local authorities are generally very reluctant to introduce such schemes as they do not want to set a precedent for all areas. As a general rule of thumb they will be considered where people are leaving cars before travelling on elsewhere (e.g. near a train station) but not where parking issues are caused by the sheer volume of cars. Most of our streets were constructed prior to mass car ownership and so cannot cope with current ownership levels. To administer a large number of parking permit schemes is something that Local Authorities do not want to have to do. I write all of this as someone who works for a local authority, is responsible for Freedom of Information request responses, and is involved in public consultation exercises so you can take it as being correct ;-)