Overlapping graphing display

[hooper12345]

hello all. i work in healthcare and we are trying to determine if an overlap occur with a small patient population. what i'm struggling with is displaying the dates in a correct manor. i have their admission date, discharge date and then a third date that may be needed just as a single point. i'd like to graph their entire length of stay (i.e 10/21 - 1/24) then add the third point which will be within that range.


Any helpful tips/ideas are greatly appreciated!