Javascript Charting - Stacked Bar-Chart + Tree Chart combined

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So I'm working on a project that requires me to graph the cummulative amount of days a certain record has spent in each of it's life cycle stages. The tricky part is, the relationship between parent and child records cause the data to branch out like a tree as one moves through the process. I'm trying to figure out the best chart type to visualize this data. Currently I have the parent and child records in separate charts, both stacked bar charts. Is there a way to make a chart that works like a stacked bar chart for it's pieces but grows like a tree as a whole? See diagrams below. In a sense, it is a an overly complicated Gantt Chart where each record is a sub-project.

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