The Ballard lines could be related back in England but they have different branches in the MA Bay Colony. I am currently researching these lines and some information is posted here:

1. William Ballard b. 1617 England d. 1689 Andover, Essex, Massachusetts
m. (1) Sarah
m. (2) Grace
2. Joseph Ballard b. 1645 d. 1721
m. Elizabeth Phelps (Phillips) in Andover on Feb 28, 1665
3. Josiah Ballard b. 1699 d. 1780
m. Mary Chandler
4. William Ballard b. 1723 d. 1782
m. Hannah Howe in Andover on Feb 7, 1750 or 1751
5. William Ballard b. 1764 d. 1837
m. Polly Chandler in Andover on Nov 11, 1783
6. William Ballard b. 1786 d. 1817 (Peterboro, NH)
m. Temperance Derby Downing in Andover on Jan 21, 1813
7. Levi Ward Ballard b. 1815 d. 1897 WA
m. (1) Phoebe Ann McConnell (m. & d. Ohio)
m. (2) Angeline McGoogin (m. & d. Ohio)
m. (3) Mary Esther Condict (m. 1857 NJ b. Jun. 6, 1833 Morristown, NJ d. Mar. 12, 1909 Auburn, WA)
8. Arthur Condict Ballard b. 1876 d. 1962
m. Jane Casselman
9. Francis Edgar Ballard b. 1913 d. 1992
m. Evelyn

http://www.pbase.com/daveb/n48645

David