You can try the free search tool at familysearch.org to see if you can find more details or use the references to see if you can obtain actual certificates. Did not find his birth record in MA. https://familysearch.org/ There is a user submitted family tree on that site as well.
US 1870 Calaveras, Township 5, CA
https://familysearch.org/pal:/MM9.1.1/MN6X-6SM
James Waters M 36y Massachusetts June 1834
Hannah Waters F 39y Ireland
Edward H Waters M 11y California
William Waters M 10y California
Mary Waters F 8y California
Emily Waters F 6y California
Charles Waters M 4y California
Katie Waters F 3y California
United States Census, 1860 Calaveras, California ward: Township No 5
https://familysearch.org/search/records/results#count=20&query=%2Bsurname%3Awaters~%20%2Bresidence_place%3A%22Calaveras%2C%20California%22~%20%2Bresidence_year%3A1860-1860~
James Waters M age: 27 years est birth 1833 Mass
Hannah Waters F age: 27 years est birth 1833 Ireland
Edward H Waters age: 0 years est birth 1860 CA
page: 106 family number: 1427
California, County Marriages, 1850-1952
https://familysearch.org/pal:/MM9.1.1/KZ32-PL1
James Waters
Marriage 10 Feb 1859 Calaveras, CA
Male age: 24 est birth 1835
spouse: Anna Griffen
age: 28 est birth year 1831
User Submitted Pedigree File Citing This Record
http://familysearch.org/pal:/MM9.2.1/M7F5-9RW
James WATERS
15 June 1835 - 18 November 1926
birth: 15 Jun 1835/4 Boston, Suffolk, MA
marriage: 10 Feb 1859 Pittsburg, Calaveras, CA
death: 18 Nov 1926 San Andreas, Calaveras, CA
burial: 20 Nov 1926 Catholic Cemetery, San Andreas, Calaveras, CA
