Hello Alistair,
Here is a website with genelogy of Bodisco, it's in Dutch your Hendrik was baptised in Amsterdam as son of . HENDRICK BODISCO and GEERTRUIDA MEIJNTGENS accoding to the site:
V.. HENDRICK (HENRI ANDRÉ, ANDREJ) BODISCO ged. N.G. Amsterdam Oude Kerk 26-03-1665 (get. Pieter Meijntgens en Belitie Meijntgens), koopman in wapens te Archangel, † Sint-Petersburg 1741, tr. MARGUERITE N.N. burger te Sint-Petersburg 1688 [Sint-Petersburg].
he married a Marguerite , Probably in Sint Petersburg or at least in Russia, were their children also might have been born, can't find them here.
see the website, - when you use dates and information of the site, you have to mention the source, the owner of the website or the website.
http://caribischegenealogie.org/genealogieen/bodisco/Jettie