Short answers, pulled from the story.
Tommy Moore, full name Thomas Henry Moore, was an English drummer born on the 12th of September 1931 in Liverpool. He played with the Beatles, then called the Silver Beetles, from May to June 1960, before Pete Best took over in August of that year.
Moore left because he had decided he had 'had enough of Lennon', partly after being pulled out of hospital following a van accident on the Scottish tour and forced to perform with the group. He returned to his steady job at the bottle works in Liverpool, and his wife Veronica told the other band members to leave when they came to persuade him back.
During the 1960 Scottish tour backing singer Johnny Gentle, the band's van was involved in a minor accident while Gentle was driving. Moore was injured and lost his front teeth. Lennon and the Scottish tour organiser then took him out of hospital and insisted he perform that same night.
Tommy Moore died on the 29th of September 1981, seventeen days after his fiftieth birthday, of a brain haemorrhage in Liverpool.
Moore was 28 years old when he played with the Silver Beetles in 1960. His birth year was sometimes incorrectly listed as 1924, which would have made him 36; his death record from the September quarter of 1981 confirms he was born in 1931.
Allan Williams, who was acting as the group's manager, suggested Moore play drums with the Silver Beetles in May 1960.