I have had the good fortune to find Franceso Lonetto's first entry into the US. I found his entry in 1910, on the Ellis Island site, but knew there had been a previous entry in 1903. I had sent three requests to NARA for different ports of entry and had found nothing. Recently I went back to Ellis Island site and patiently went through many alternate spellings. Suddenly, it was there, Francesco Lonetta, from Mesoraca, arrived Jan 28, 1903.
Peter, I know you have said names were not changed and were copied from departure documents but in this case, and maybe for others, a simple mistake in handwriting, one letter, made all the difference.
So, keep trying every method you can until you are successful!
If anyone has time to look, I have one question about this entry for Francesco Lonetta, Column 06, Occupation. I can't understand what is written. It is the same entry for many other passengers.