I have several families where children were baptised more than once. One family had their house registered as a meeting house of non-conformists. When they moved to town from the village, the children made a visit to the font at the CoE parish church. Additions to the family had both CofE and Methodist baptisms. I think the phrase "covering all bases" seems to fit.
One distant relative was baptised twice within a fortnight at the same church. A clergyman was visiting from abroad, and it seems some effort was made in order to give him "something to do".