Hello:
You said your last name is IBORTI, it really sounds like basque and in basque we have surnames such as Ibar, Ibarra and so on we have also the suffix TI. Ibor is a river name not in the Basque Country proper but in the very south of Spain a little bit to far from the basque influence, but during the ancient times of the middle age, there were populations of basque people, who knows? Ibar and possibly Ibor has the meaning of valley but Ibar is specially a valley ho is divided i by a river, inastead of harana that has no river in the middle. It is difficult to say more. Just take this by now. Gero arte. (I'll see you later).