My great greandmother Catherine Casey was born in Bayonne NJ in either 1900 or 1901. I traced her family back to the 1900 cencus but on that cencus she was not on it. There was another name, Kate born May 1900, which I initially assumed was Catherine. However, I found in the NJ birth index that "Kate" died at one year old.
Sould i infer that Kate and Catherine are two different people or that I have the wrong family? And if it is her family, how would I find her birthdate to get a cerificate to be sure?
Also, where do i find Naturalization records for people in NY and NJ that are not online that according to cencus'were either naturalized or got first papers?