We just received the following email from New Castle County. We do not know how or when they previously handled phone building permit inspection requests but to me the text implies change:
Howard, the Inspections phone lines will be open from 8 am to 11 am, Monday through Friday, starting June 3, 2013. Inspection Scheduling is available 24 hours a day through our on-line scheduling system which we encourage. Most customers have an account to schedule Inspections on-line, however, If there are folks that need to set up an account, the link is below.