It's odd how so many Gen 1 Pokemon got weirder at the advent of breeding in Gen 2.
Besides Exeggcute, there's Kangaskhan, who apparently hatches with alongside it's newborn. Chansey, who hatches from an egg, with an egg. And the Nidoran family, who were unique in having different genders classified as different Pokemon. And, Nidorina and Nidoqueen can't breed, for unexplained reasons.