School transport is a thorny issue, not least because although the law and basic guidelines are the same for all local authorities, many use discretionary policies which give free transport to additional groups of people and these vary from authority to authority.
The basic law and guidelines can be found in a DfES document:
http://publications.teachernet.gov.uk/d ... 00373-2007
IPSEA also have a guide to school transport:
I am guessing that you would not have a statutory entitlement to free school transport as this is not your nearest "suitable" school. However, if the local authority is providing free or subsidised transport to non disabled children in your situation, then to not provide it to your child (assuming your child has a long-term disability) sounds as if it would amount to disability discrimination.
Solicitors, unless they are specialists in education or disability, may not always be experts in such areas and you may get better advice or a list of suitably experienced lawyers from one of the charities/voluntary agencies dealing with these areas like IPSEA or The Advisory Centre for Education.