Daughter and river

Help guys. Im looking for a manhwa where there was a kingdom and there was some sort of prophecy about a girl (or they are looking for a daughter or something). So what happened was all families who have a baby daughter, they sort of placed them in a basket then let it run on the river. The fastest baby who will reach the end will be adopted to the palace. I already forgot the specifics but i know that there was a dragon above that river and all the babie cried except for the MC which raised her favorability.