Hi there, don;t know if you've had a reply or not to this question but I'm assuming that the burial records would be held at West Lothian Council, County Buildings, Linlithgow.
customer.service[at][/blue]westlothian.gov.uk (Replace [at] with @]
NET''s & Land Services (Cemeteries Office)
County Buildings,
High Street,
Linlithgow,
EH49 7EZ.
Telephone: 01506 775000/or 01506 775240
This is providing the burial would have been in Linlithgow, Muiravonside cemetery is very close and I know of burials taking place there for residents of Linlithgow Bridge . You can get them at bereavement[at][/blue]falkirk.gov.uk (Replace [at] with @)