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Heritage Series booklet on Badami says that Yellamma Gudi was built by an ascetic named Paramanandadeva during the rule of Kalyana Chalukya king Jagadekamall II in 1139 CE. An inscription stating this information found here is now an exhibit at the historical museum here. This temple was originally dedicated to Yoga Narayana called Yogeshwara Narayana. It is possible that the deity of this temple- a XII Century CE idol of Dattatreya -is kept at another temple a short distance from here. Source