I am retracing my records to see what I have found and what I am missing. If you visit the Notini webpage, you will see that there is a very good chance that Notine is, in fact, Notini. This is what I have so far on the above mentioned names:

1970 census Hartford, CT, Ward 4

William Notine, 29 born in Italy
Ellen, 24, born in Connecticut
Almira, 5, daughter born in Connecticut
Albert, 2, son born in Connecticut
Joseph, 24, born in Italy

1900 census, St Edwards Street, Brooklyn, NY Ward 11

Albert F. Notine, b Apr 1867with father from Italy and mother from Connecticut

wife - Mary A., b. July 1874 (parents both English) married in about 1895
Robert W. Notine, b. 1896 in NY
May b. 1899 in NY

The Albert F. Notine matches the son of William Notine listed above.

I have since been searching for Joseph Notine listed in the 1870 census with William Notine. I notice that there are records on the community boards that list a Guglielmo, Frank, John, Lodevico and Joseph Notine(i) as a family group with Luigi as their father from Lucca, Italy. I can't seem to find the for sure connection though. There are Josephs that may match this information, but the age is off. I have found a Joseph through census files from 1910 and 1920, but his age is off by 10 years if we are going to try to match him to the one living with William in 1870. There is, of course, a good chance that the dates or ages have been incorrectly reported on the forms. I noticed when searching for Joseph that he listed his age and date of arrival differently on each of the census records. The exact details didn't seem too important to him.