firtstly CONGRATULATIONSSS!
secondly- love the name Jett, that was on my short list of names
and thirdly i dont think it has ANYTHING to do with you MIL, name you baby what you want because there is no point in you being unhappy just to make MIL happy.
really as bad as its going to be at the start she will eventually get over it! right?

but i do think there are some really cute italian based names (my mother is italian) she wanted me to name my son something italian based instead she is about to recieve a grandson by the name of Oscar haha and my family has tried and tried to put me of the name by reminding me of oscar the grouch etc... but just ignore them

i have a few cute (italian) names

girls

Arianna.
Mia.
Isabella.
Zaira.
Elena.
Amalia.
Aida.
Allegra
Lucy

boys

Dante.
Lucca.
Matteo.
Rocco.
Antonio.
Romeo.
Orlando.

hope this helps you a little
goodluck x