The liked to in statements such as It started raining yesterday and liked to never stop is directly related to the word likely. The terms liked to and likedta used in this way reflect a British dialectal term that found its way into the speech of...
I liked to died when that ol’ toad-strangler crashed through the veranda! The Southernism liked to, also known as the counterfactual liketa, derives from the sense of like meaning “nearly.” This is part of a complete episode.