Faolyn
(she/her)
OK, so red dragons are less likely to have an external force teaching them. But I believe both blue and green dragons have been noted as being really good parents. At least back in 2e, which is the last Draconomicon I read. Can't remember what 3x says about it.5e is pretty sparse on the lore, so I went back to 3e for this.
"Courtship among red dragons can be a perilous affair, because most would-be suitors are treated as dangerous rivals. Successful red dragon courtship usually involves a younger dragon with fairly high status among its peers carefully approaching an older one. Females do most of the courting, but males are also known to do so. After mating, the younger dragon is usually left to guard the eggs. Most red wyrmlings are left to fend for themselves."
You might get the occasional red dragon of a different alignment, but most are evil and leave their young to survive or not.
But as for being abandoned... have you ever read the webcomic Digger?