New Canaan is “actively investigating” whether it could expand commuter parking by extending two lots at Talmadge Hill into state-owned property alongside the Merritt Parkway, the town’s highest elected official said Tuesday. According to First Selectman Kevin Moynihan, the town soon will send a letter to the Connecticut Department of Transportation “to ask for their cooperation to let us pave” the areas, which would yield some 50 additional spaces. Combined with efforts to gain another 150 to 200 spaces for commuters through the Boxcar app and a possible northward expansion at Locust Avenue Lot, the project at Talmadge Hill is expected put a dent in waiting lists for parking permits—nearly 600 between the Lumberyard and Talmadge Hill, as of last month. By bringing that number down, Moynihan said, the town could be looking at a smaller structure needed to bolster parking at Lumberyard itself. “We really have to have a hard number as to how many spaces we need to build,” Moynihan said during a regular meeting of the Board of Selectmen, held at Town Hall.