According with this article, Midrash Chad Shenati was discovered in the Cairo Genizah almost a century ago. It is an early medieval midrashic collection most likely of eastern provenance, dating from the late tenth/early eleventh century.
Does anybody know any additional information about this? Is there any discussion as to its validity or its use in other sources in ancient/modern times? It was already published? Is this Midrash available online somewhere?