Went down to the Council Office yesterday, and found them in the middle of Lord Westmeath's case--Lord Lansdowne, the Vice-Chancellor, Parke, Erskine, and Vaughan. Lushington was for Lady Westmeath, and Follett (with a civilian) for him. After the argument there was a discussion, and well did Westmeath do, for they reduced the alimony from £700 to £315 a year, and the arrears in the same proportion. Thus Westmeath succeeded in great measure in his appeal, which he would not have done if the Chancellor had contrived to lug on the case as he wished; for Erskine was all for giving her more, the others did not seem averse, and but for Parke, who hit off the right principle, as well as what best accorded with the justice of the case, she would certainly have got a much larger award. [Page Head: RECENT LAW APPOINTMENTS.] The Vice-Chancellor afterwards told me the history of the recent legal appointments. There never was any difference of opinion between Brougham and Melbourne on the subject of either. Campbell accepted the Attorney-Generalship on the express condition that he should not expect to succeed as a matter of right to any vacancy in the Courts, but on Leach's death he did instantly urge his claims. Brougham wrote to Melbourne, and speedily followed his letter to London, and they both agreed not to listen to this claim, and to promote Pepys. I don't know how they disposed of Horne's claim. Bickersteth[8] refused to be Solicitor-General on account of his health, and not choosing to face the House of Commons and its work. Shadwell told me that he wrote to Brougham and suggested Rolfe when the vacancy occurred, that he had not been in great practice, but was a good lawyer and excellent speaker, and that the Chancellor and Melbourne had likewise concurred in this appointment. Nothing is settled about the new arrangements rendered necessary by Lord Spencer's death, but Melbourne went to Brighton yesterday. Rice has worked hard to master the Colonial business, and probably will not like to be translated to the Exchequer; besides, it is supposed that his seat at Cambridge would be in great peril. People talk of their not going on; how can any others go on better?