Short answers, pulled from the story.
Charles Lutwidge Dodgson entered the world on the 27th of January 1832 at All Saints' Vicarage in Daresbury, Cheshire. He was the oldest boy and third of eleven children born to a family with deep roots in the Church of England.
Lewis Carroll used the real name Charles Lutwidge Dodgson while working primarily within geometry, linear algebra, mathematical logic, and recreational mathematics fields. He produced nearly a dozen books under this name while maintaining his position as Mathematical Lecturer at Christ Church.
The pseudonym derived from translating Charles Lutwidge into Latin Carolus Ludovicus then reversing it to English form. Editor Edmund Yates selected this name from four options submitted by Dodgson alongside Edgar Cuthwellis and Louis Carroll.
On the 4th of July 1862, he invented the outline for what would become his greatest commercial success while telling stories to Alice Liddell. She begged him to write it down leading eventually to a handwritten manuscript titled Alice's Adventures Under Ground presented in November 1864.
Charles Lutwidge Dodgson was ordained deacon on the 22nd of December 1861 but declined priesthood when year passed due to an unexplained sense of sin guilt during early sixties. He frequently expressed diary views calling himself a vile worthless sinner unworthy priesthood which may well informed decision abandon being ordained priesthood.