According to the hospital, the woman, identified as Renu Singh (40) and her daughter, Annu Singh, both died on September 18.
The duo's demise saw protests being held at SSH of Banaras Hindu University with protesters alleging that the duo died due to lack of timely care.
When contacted, BHU's Medical Officer, KK Gupta, said an "inquiry committee" has been set up to look into the matter and that it would submit its report at the earliest.
"As there were limited beds in OPD, the mother was given admission in the medicine department. But her condition was so critical that she needed an immediate liver transplant within an hour if she was to be kept alive," the medical officer said.
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He said that the duo had contracted some water-borne disease along with a liver ailment.
Incidentally, it was on September 18 that Prime Minister Narendra Modi formally inaugurated the much-awaited BHU trauma centre via remote control from the DLW grounds here during a visit to Varanasi, the Lok Sabha constituency which the former Gujarat Chief Minister represents in Parliament.