English burial registry: what does D or HD mean after these names?

Question

Here is a page from a 19th Century London Deaths and Burials register.

Each name is marked either D or HD.  What does that indicate?

Comments

Can't find the exact answer, but the consensus seems to be that the D stands for "duty" related to burial-fee type. The H seems to stand for "Half".

https://genealogy-specialists.com/threads/some-help-needed-with-burial-interpretation-please.5263/

https://www.rootschat.com/forum/index.php?topic=570260.0

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Thanks Mike!  That makes sense