Carrington in Algonquin Carrington is a single family home neighborhood located in Algonquin, Illinois. Carrington is on Countryside off of Route 62. Activity in Carrington for the past 6 months Homes Sold Lowest Price Highest Price Average Price 1 $180,000 $180,000 $180,000 1 homes sold in Carri... 02/29/2012