Shaver socket transformers tend to have poor regulation. If your toothbrush is marked 100 to 250v or similar plug it in to the 110v side. There will be less strain on it that way.
But the charge base will not be
If it is a UK device it will be marked as 220-240VAC.marked 100 to 250v
It is a simple induction coil inside the base, no fancy electronics, nothing. Its like a transformer.
Look it up on Wikipedia, if you dont understand the concept.
If you plug a regular UK (eg Braun) toothbrush into the 110v output of a shaver point then you are not going to charge that toothbrush up, not in a month of Sundays.