What does Ignatius mean?
Roman/late-Latin name popularly associated with Latin 'ignis' ('fire'), giving the sense 'fiery, ardent'. The link is disputed: the name may actually derive from the Etruscan family name Egnatius, with the fire meaning being a long-standing folk etymology.
What does Amadeus mean?
A Latin name combining amare 'to love' (amadeo 'I love') with Deus 'God', understood as 'love of God' or 'loving God'. The am- root is unambiguous; best known from Wolfgang Amadeus Mozart.