All the Snicket name choices could be sorta explained by the Snicket familly weird tradition of naming their kids in alphabetical order.
That means that when Jacob and E. Snicket were expecting their first son they had to choose a boy's name starting with the letter J (and since is taboo for most jewish comunities to name a child over someone who is still living Jacob was out of question). So if you want a commom but not super common boy name with J is not that much of a reach they choose a french name without being French.
Same goes for Kit. They wanted a girl's name with K and Katherine is as classic as it goes. Till this point it just appear they like classic names that aren't too weird but also not too common either.
But than we have Lemony and my hc is that the parents were having to many missions/trouble with the twins that they didn't sit beforehand to choose a name. So suddently they had a baby in the dairy factory and maybe they went to a hospital afterwards (hopefully) or even just home but someone asked the name of the baby and they went FUUUCK and had to come up with a name on spot. It had to be a L name. And in their panicky state E looked at the twins and Jacques was drinking a pink lemonade and she though "Lemon' and pointed to Jacob that noded and answered "Lemony". After that until the moment of their deaths they would look very embarrassed to all the Luccas and Liams and all the diferent ways of creating Leos (not at Lukes though cause Luke is too common).
