Scikit HDBSCAN *tree* labeling (not single-slice labeling)

Question

BLUF: For a specific epsilon (or for HDBSCAN's 'favorite' epsilon), I can extract the mapping of my data in that epsilon's partition. But how can I see my data's full tree membership?

I've gotten a ton out of the terrific tutorial here. In scikit learn's HDBSCAN, I can use clusterer.labels to see the best epsilon's partition labels. And I can use clusterer.single_linkage_tree_.get_clusters(0.023, min_cluster_size=2) to see the an arbitrary epsilon's partition labels. I can even plot the entire dendogram using clusterer.condensed_tree_.plot(). But how do I see the dendogram's labels for individual datapoints?

For Example: It's nice that my pets' names are {Spot, Felix, Nemo, Fido, Tigger}. Or the species are {Dog, Cat, Guppy, Dog, Cat}. But I'd like one output that tells me:

Spot	Dog	Mammal	Animal
Felix	Cat	Mammal	Animal
Nemo	Guppy	Fish	Animal
Fido	Dog	Mammal	Animal
Tigger	Cat	Mammal	Animal

With this sort of output, I could see precisely how related Spot and Felix are, instead of "Do they have the same species? Y/N?" "Do they have the same kingdom? Y/N?"