Question: Who is Hugh Cholmondeley, 1St Earl Of Cholmondeley's paternal grandmother?
Answer: Mary Bodvile

Robert Cholmondeley, 1st Viscount Cholmondeley (died 22 May 1681) was an English peer. Lord Cholmondeley was the son of Hugh Cholmondeley and Mary Bodvile. Sir Hugh Cholmondeley of Cholmondeley was his grandfather and Robert Cholmondeley, 1st Earl of Leinster, his uncle