Ok that's everything you wanted posted Barbara. One of the experts in translating might look at them today but tomorrow would probably be more realistic. There's a seven hour difference between the USA and Italy so it's almost 10pm there now.
Giuseppe d'Atina was, in fact, an abandoned infant. In 19th century Italy, he was called a proietto. You will see that word after his name on several of the documents. In addition, you will see the phrase "ruota di proietti" on his birth record (right before his name), which is loosely translated to "foundlings' home". He was abandoned at the ruota di proietti without any token or sign of identification. He was given the name Giuseppe d'Atina. While Esposito was a common surname assigned to proietti (especially in the area around Napoli), there were many other names assigned to these children by town officials. If you are doing extensive research in one town, you can get a sense of how that particular town chose the surnames assigned to proietti.
From a prior post on assigned names:
From what I've read, the surnames assigned to the foundlings varied from town to town. Some towns used surnames such as Proietto or Trovato [foundling], Esposito [of this place], and D'Ignoti [of unknown], which surnames reflected the status of the child. Some surnames were tongue-in-cheek, such as dâ€™Amore. In 1928 these methods were outlawed as being detrimental to the foundlings so named. Other towns used the surnames of noted men or of families that had died out. My area of research is Campobasso --- during the early part of the 19th century, that town often used the names Esposito and Fortunata. However, by the middle of that century they predominantly used variations of common surnames, e.g., Angellillo to Angellini. In the late 19th Century, I noticed some beautiful descriptive surnames, such as Cuorgiusto and Fiorebello. However, one foundling was named Maltesta - I can only imagine how that infant must have cried and bawled!