 In her will, she made a bequest of $20,000 to the College ""...for the purpose of founding a Scholarship to be known as "The Peers Coetmore Scholarship" to be awarded from time to time to the cello student adjudged to be the worthiest student by the Board of Studies to enable such student to engage in the further study of the cello for a period of one, two or three years and whether within the Commonwealth of Australia or overseas as the said Board of Studies may in its unfettered discretion determine"".She also bequeathed to the College her 1723 Goffriller cello and some of Moeran's unpublished musical scores, including his unfinished Second Symphony in E-flat.After her death, Walter Knott arranged for Wesley College, Melbourne to name its orchestra the Coetmore Orchestra in her honour.