Verdistis map

The house that you can buy (or rent) is south west of the park, just west of the healer's house, on the north. You must first restore Maria's reputation to get the house, by finding evidence against Malcolm.

There are a couple pieces of Dragon armour in Verdistis. The belt you can find in the house west of the doctor's house, on the south. Once the Dwarven king tells you where the breastplate is and you speak to Sir Patrick, the quest he sends you on take you to the house just north east of his estate.