(a) Al-Safar bin Nusayr al-Asadi says that the Messenger of Allah (peace and blessings be upon him) said: "The child born of fornication is the worst of the three," if his parents submitted (accepted Islam) but he did not submit. He (peace and blessings be upon him) said: "He is the worst of the three."
(b) Sayyidah Aishah (may Allah be pleased with her) says that none of his parents' burden is upon him. The saying of Allah Almighty is: "And no bearer of burdens will bear the burden of another." [Surah al-An'am: 164]
This report is mursal.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 5136