In the UK the Freedom of Information Act only relates to public authorities (i.e. tax-payer funded organisations). FOI does not apply to personal information.
I think maybe you're thinking of the data protection act 98. Under that Act anyone can request a copy of ALL their own personal information held by ANY organisation (not just public sector) except in very limited circumstances e.g. if the information would tip you off that you're about to be arrested for a crime. You just need to write a letter and request it (they have the right to chargeyou up to £10). It would be a criminal offence if they destroyed any information after you have requested it. It's possible that the letter of recommendation would fall under an odd exemption which relates to references (e.g. job references), which means the person who gave the reference doesn't need to disclose it but the person who received it must provide it. My gut feeling is that the elders are advised by the WT to destroy these kind of letters as soon as they have served their purpose.