Yes from the wiki there would appear to be a Williamite connexion somewhere in the family:
"The van Rheedes are one of the old families of Europe, descending from Bitter Van Reede, mentioned between 1344 and 1372, who himself was probably descendent of Wernerus de Rethe, knight, mentioned between 1223 and 1236. Godard VAN Reede (10th generation) accompanied William III of Orange to England and became Earl of Athlone on 14th March 1691 (branch extinct 7 Jan 1897). Another branch, Van Reede de Parkeren en Aa, became extinct in 1879. The Van R(h)eede van Oudsthoorns are, therefore, the only surviving branch of the family, both in the Netherlands and in South Africa. Van Ooudsthoorn was added to the original surname of Van Reede because for a period they were squires of that village in Holland
