A dispensing container fillable with a liquid includes a squeezable reservoir for holding the liquid prior to dispensing; a nipple dispensing head which is integral with the squeezable reservoir and having a distal end and a proximal end; an outlet at the distal end of the nipple dispensing head for dispensing the liquid from the container; a passage interconnecting the squeezable reservoir and the outlet; and a stop disposed near the proximal end of the nipple dispensing head to prevent over-insertion of the dispensing head into a user's mouth when the container is used to dispense the liquid to the user. Containers that are filled with liquid and a method of making the containers are also described.