Vital Statistics Unit in Belize City handles all matters regarding births, deaths, and marriages.They can carry out bmd searches, although they do take some time to respond.
Email:
vitalstatsbz@yahoo.com Also there are the Belize archives, who have access to early parish records. Email Mary Alpuche as she is really helpful and quick to respond:
archives@btl.nethttp://www.belizearchives.gov.bz/Hope this helps