The Ohio Street Basin
The Ohio Street Basin is probably the most popular spot to elope. It's centrally located. You can walk there easily from downtown. There is a HUGE shade tree that's great on a sunny, hot day, or if it's sprinkling. It also provides a place of the busy path for a quick exchange of vows. The fountains are usually on during the spring, summer, and fall.
You can usually park on Ohio Street - there are parking meters.
The easiest way to find the location is to put The Indiana Historical Society in your GPS. It's across the Street from the Fire Station. Ohio Street goes over the canal. You will need to take steps down to the canal level. There are elevators nearby.
Put Indiana Historical Society into your GPS:
Indiana Historical Society
450 W Ohio St
Indianapolis, IN 46202