Looking at the writing in 1861, it looks like "Ballagraue" or "Ballagrane" and doesn't look like "Ballagraw" or "Ballagrawe" in any of the places its written. The farms listed before are Ballaclucas and Rhyn and Ballalough Cottage, and after is Baldwin Village. In 1851 the Gellings are the first family listed in Baldwin Village but a few pages later I can see "Balla Grawe" after Baldwin Village listings end. In 1841 it looks more like "Ballgrane".

I bow to the experts on farmnames and will change it to Ballagrawe. Thanks for the correction.