East Nashville Apartments Or Houses For Rent . Some of the nearby neighborhoods near east nashville are inglewood , talbot's corner , porter heights , and trinity lane. Apartment rent in east nashville has increased by 10.6% in the past year. 3706 Village Trail, Nashville, TN 37207 House for Rent in Nashville from www.apartments.com Payment (high to low) 714 shelby ave #a, nashville, tn 37206. The average household size for the neighborhood is 2.26 people, and it's 2.39 people in north nashville. S1044 nashville 3 bed 1.5 bath 2 garages 1616 sf house for rent.