Yes, a good idea to contact BHPS. But hogs should not be relocated to a rural area. The hogs that live in urban/suburban areas are specialists at living in that sort of area and would probably be totally lost in the country. Hogs also become very familiar with their ranges – know the best places to find food, water, nesting sites, etc.
Added to which hogs in the countryside are not doing as well as their town cousins.
Hogs are surprisingly good climbers, any chance it could have got into your garden that way?