Is Li Gang, Prime Minister of Southern Song Dynasty, the ancestor of Li Chunfang, the top scholar of Ming Dynasty? Do you have original materials to prove it? thank you

Southern Song Dynasty (1 127-1279), Ming Dynasty (1368 ~ 1644), Li Chunfang's great-grandfather Li Xiu, grandfather Xu Li and father Li Tang. I can only find it here. The Southern Song Dynasty was 70 or 80 years away from the demise of the Ming Dynasty, so it is hard to say what happened in these 70 or 80 years. Baidu Encyclopedia in Southern Song Dynasty has information about Li Gang, but no information about his children. Therefore, this inference of lz is difficult to establish. It is suggested that lz go to the high-end library to find relevant historical materials.