I like Hanna Claire, it sounds lovely. What about Harrison Rhys Jones? Could you use Hubbys/Your dads/FILs name?

FWIW- Middle names are generally used in memory of family members. DS's middle name is Richard which I personally dont 'love', but it is DH middle nameand FIL (dec.) middle name too. Middle names are usually only used on important documents anyway.

I do think Harrison Ronald Jones flows really nicely.