Naming helicopters seems to have fallen out of favor. Just like in the automotive industry, we seem to prefer a collection of numbers/letters instead of names like "JetRanger" or "AStar".
EC130: No official name, but at least a couple operators use the name "EcoStar" in advertising (I believe Blue Hawaiian started this)
EC145: No official name, but the predecessor BK117 was the "Starship" in some circles. Not sure if that was an official OEM name or someone's marketing department.
Bell 407 and 427 likewise have no official names.
Bell seems to be bringing back the name thing, at least for the 505 "Jet Ranger X". We'll see if it sticks.