Allen was born in Dallas, Texas and lived in Texas for eleven years until he moved to Weyburn, Saskatchewan Canada. After high school, Allen attended Abilene Christian University in Abilene, Texas where he received his BA, MA and the Masters of Divinity in 1993.
While he was at ACU, Allen met and married his wife Laura. Laura was raised on the mission field of Rhodesia (Zimbabwe) until her family moved to Lubbock, Texas when she was fourteen. After graduating in 1986, they moved to Saskatoon, Saskatchewan where Allen worked as the Campus Minister and the Pulpit Minister for twelve years. While in Saskatoon, all three of their children—Luke, Ashley, and Brianna—were born.
In August, 1998 the Close's moved to Lexington where Allen is the Pulpit Minister at the Lexington Church of Christ and Laura teaches at Pleasant Hill Elementary school in Lexington. Their son, Luke, is currently attending Harding University in Searcy, Arkansas, Ashley will be attending Abilene Christian University in Abilene, Texas, and Brianna is in school here in Lexington.