Alfred stated:
Charles Taze Russell's Bible Students who predicted that the Big A would start in 1914
I am not sure what is meant by the "the Big A". Russell was expecting the "time of trouble" to begin in 1914. Russell died in 1916 still with the belief tha the time of trouble had begun in 1914.
Alfred stated:
except for the Bible Students who continued to move up the date for Armageddon 2 more times (1918, 1925)
I cannot be certain, but it appears that most of the Bible Students continued to hold that the time of trouble (Armageddon) had begun in 1914. I know that this is what I believe, and I know of many other Bible Students who also believe this. By 1928, the majority of the Bible Students had rejected Rutherford's new organization. Rutherford wanted to use the prophecies to bolster support for his new organization, and thus he rejected much that Russell had taught concerning 1799, 1874, 1914, etc.