[kragen]

monasteries were already at least a millennium old when the middle ages started, maybe several millennia old; a pilgrimage to a monastery is central to the plot of the ramayana, which depicted its events as impossibly ancient when it was written, at least 900 years before the middle ages. in particular, the kingdom where it began did historically exist but was conquered 1000 years before the middle ages; the ramayana doesn't bother to mention the kingdom that conquered it

all of these events predate the wide adoption of writing in the region, which makes it hard to tell how old the traditions described in the oldest sources are, though vedic scholars make arguments from internal features of the text

also it is common into deep prehistory for non-wealthy people to live with their parents as long as they are single; that's what most people do here, for example. no monastery needed