I have James Driscolls in Poplar in my family too.
My great-grandfather (Florance Driscoll) had a brother James born in Well Street, Poplar in 1839. Their father was James born in Ireland about 1812.
I don't know anything more about the 1839 James except that he is in the 1851 census at 125 White Hart Place, Poplar - with his parents, Florance and a third brother John.
Florance named his first child James but he died aged one and the family then moved to New Zealand in 1873.