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In 1830, the Duchess of Kent and Conroy took Victoria across the centre of England to visit the Malvern Hills, stopping at towns and great country houses along the way. Similar journeys to other parts of England and Wales were taken in 1832, 1833, 1834 and 1835. To the King's annoyance, Victoria was enthusiastically welcomed in each of the stops. William compared the journeys to royal progresses and was concerned that they portrayed Victoria as his rival rather than his heiress presumptive. Victoria disliked the trips; the constant round of public appearances made her tired and ill, and there was little time for her to rest. She objected on the grounds of the King's disapproval, but her mother dismissed his complaints as motivated by jealousy, and forced Victoria to continue the tours. At Ramsgate in October 1835, Victoria contracted a severe fever, which Conroy initially dismissed as a childish pretence. While Victoria was ill, Conroy and the Duchess unsuccessfully badgered her to make Conroy her private secretary. As a teenager, Victoria resisted persistent attempts by her mother and Conroy to appoint him to her staff. Once queen, she banned him from her presence, but he remained in her mother's household.

What position did Conroy try and fail to get Victoria to appoint him to during her illness and later?
private secretary