Please see Darrell Wolcott: Edwin of Tegeingl and His Family - The Ancestry of Edwin of Tegeingl; http://www.ancientwalesstudies.org/id42.html.
In the above cite, Darrell Wolcott indicates that Eadwine was probably a brother of Leofwine. The Wikipedia article on Leofwine indicates that his father was named AElfwine, who is otherwise unknown: https://en.wikipedia.org/wiki/Leofwine,_Ealdorman_of_the_Hwicce. Medlands, which presents the ancestry line currently in Geni, cautions thus: "The following supposed ancestry of Leofwine Ealdorman of Mercia is taken from the Genealogia Fundatoris of Coventry Monastery[298]. Most of the details have not been confirmed in other primary sources. It should be noted that the chronology is extended. Freeman dates this document to no earlier than the reign of King John[299]. This alleged ancestry should be treated with considerable caution." (Steven Ferry, February 8, 2019.)