Thank you. My GGM's name is the same of the same parents so I needed to make sure. My GGM was supposed to have been born in 1884 - I went through all of the Capestrano records from 1880-1887 and found another Teresa DiLoreto of different parents... Maybe I will put that birth record on here just to make sure.
Can't read the date or parents' names on the first image. Can read the child's name as Teresa. What seems to be very clear is the notation on the left...unfortunately much of it is cut off. It may be a marriage notation, and seems to be dated 9 October 1903. If you can move the image to capture that it may be another clue.
In the second image you can read the name of one of the witnesses: Giiuseppe Loreto, age 60. The script after that seems to indicate that the father could not be present because he is far from this comune.
Do you know if Teresa's father had immigrated by the time she was born?