Investopedia has a good definition of Home Hazard Insurance:
Hazard Insurance Hazard Insurance - Insurance that protects a property owner against damage caused by fires, severe storms, earthquakes or other natural events
Lenders and Insurance agencies have gotten screwed in the past because their borrowers have let their Hazard insurance lapse on their property. Here is a company that can help protect against that kind of problem
Loan Protector Loan Protector is a proven hazard insurance program designed specifically for mortgage lenders and servicers.
"While not required by all mortgage companies, an escrow account is how the mortgage company can make you put enough money aside to pay your annual property tax and hazard insurance."
Not all mortgage contracts require an ecrow account to pay for Hazard Insurance. You should be able to negotiate with your mortgage lender to pay your own property taxes and hazard insurance.