Prince Andrew and his former wife, Sarah Ferguson, the Duchess of York, are fixed on the idea of staying at Royal Lodge following her latest cancer diagnosis, RadarOnline.com has learned. Rumors swirled that Andrew was granted permission by his brother, King Charles, to stay in late Oct. after asking the disgraced royal to relocate into the smaller Frogmore Cottage to scale back costs of the monarchy and it appears the Duke of York still wants that arrangement to last indefinitely. Insiders said the Duke of York was previously given time to assure his brother he could provide the necessary fun…