Shawn (or Sean, rather) is an Irish varient of John, one of your bog-standard English names with a religious meaning and has common use with Christians.
Madi is a nickname for Madison or Madeline (or possibly others) which one is a surname with no religious connections, and the other has a heavy Christian association.
Jailyn is just a neo-English name with no connection to anything.
So based on that, I reluctantly answer Madi, but I can tell you that neither name pair well with Shawn, nor would I think of either name when trying to think of similar names to Shawn. It's a hard pick and I had to pull at straws to reach a conclusion (sorry)
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Formally PrincessZ and Princess Magpie