Hi Belle
Now I am going to give you these details from the 1910 census, even though the name of the household doesn't match with what you have said as I am pretty certain that it is your family. It was very difficult to find because James has been indexed incorrectly with the household of Ida Ramish.
Living at 601 South West Street, Syracuse Ward 11, Onondaga, New York
Head of household, Larry Connors, age 40, Marriage 1 for 10 years, born New York, parents born Ire English, occupation Laborer odd jobs
Wife, Nora, age 38, 1 child, 1 living, born New York, parents born Ire English.
Son, James, age 5, born New York
In the 1920 census, Nephew, James age 15 is living with Daniel Duggan, age 42, single, born New York as were both his parents, his occupation is Laborer Milling Company.
Also in the household is Daniel's sister Margaret, age 52, single also born New York, her occupation is Dressmaker working in own home.
They are living at 416 Shonnard Street, Syracuse Ward 12, Onondaga, New York (sorry! still cannot read the Street very well)
I cannot find his parents but will keep looking as well as hopefully finding them in 1900 married, fingers crossed
Agnes