That's quite the mystery. All I can come up with is that the newspaper's date is misidentified (which if you ahve the full page is unlikely), that the cemetery's records are wrong, that the ground was frozen or flooded when she died, the gravediggers were on strike, or that for some reason she was buried elsewhere first and then reburied on the 30th (seems unlikely if there was already a family plot there with space for her).

All seem fairly unlikely, but so does an unburied body for 25 days in 1887.

I'm used to funeral processions heading straight to the cemetery after a funeral, so it seems especially odd that the funeral was the 5th but the burial was the 30th.