"Linden" is a common toponym, applied around the world to many localities where linden trees grow. "Hawtree" is rather rare; surely it refers to the hawthorn, a populous genus of trees and shrubs found in the northern hemisphere.
I didn't attempt to follow the road as far south as Howard Beach, where Hawtree Basin accepts the ebb and flow from Jamaica Bay, and I don't know what flora survives there. But I'd like to imagine that in times past, hawthorns stood along the creek, and their small fruits were harvested and preserved as they still are in the South.
Hawtree Creek Road
Sign at the corner of Linden Blvd., Ozone Park, Queens