Conversation so far:
Who were Emily Dickinson's early influences?
Newton was a formative influence and would become the second in a series of older men (after Humphrey) that Dickinson referred to, variously, as her tutor, preceptor or master.
How old was she when she started to write?
CANNOTANSWER.
What were some of her early writings?
She wrote later that he, "whose name my Father's Law Student taught me, has touched the secret Spring".
What is that quote from?
CANNOTANSWER.

Question: Were there any other influences?
Self-contained rewrite: Did Emily Dickinson have any other influences aside from Newton?