Regarding the name Galardi, you said it was an italian name but most of your ancestors are Basque. While it is true that there are many Italians with the surname Galardi, the name is Basque. It is derived from the Basque word "Galar", meaning kindling (literally "dead wood on the tree") and the Basque suffix "-di" which denotes an abundance of something. Many Basque surnames are derived from the location of the family home. Galardi would refer to someone who lived near a lot of firewood. It is a fairly common Basque surname. I have seen family trees from Euskal Herria (the Basque Country) with the surname traced back to the early 1500's.