Lilith

It appears that the name Lilith is quite common for fictional characters, especially in anime, manga, and fantasy, often based on the figure from Jewish mythology. However, there doesn't seem to be a single, widely known character named "Litith the chibi anime girl" with that exact spelling. It is very likely that you are referring to a character whose name is "Lilith" (spelled with an L) and is frequently depicted in a chibi (small, cute, super-deformed) art style in fan art or promotional material.