Ouch! I hate it when that happens! The hedge looks like a Chamaecyparis, or possibly a Leylandii Cypress. If it is a Leyland, another Leyland will be the quickest possible fill in, though I know there will be objections from a lot of other gardeners here, especially the ones that have fought their roots! Since this appears to be on a corner, you may want to put in a contrasting plant such as a Red-tip Photinia (Photinia x fraseri). It is also known as "Red Robin", but that is a dwarf variety of this species, so I would get the original if you want fast growth. There are probably a dozen other possibilities, but you might want to hear from the locals on that.

Thanks for your comments Tugbrethil, the hedge is about 10 feet high but it has been a fantastic barrier over the years. All the neighbors seem to love it and always tell me that i keep it lovely!
The hedge is about 20 years old, even replacing with another plant, i feel will take years to fill out! It's such a shame to see the damage.

My insurance company said it is covered, but how much would one that big cost?
I don't think i pay enough premiums a year for that!!! I will give what you say some thought, thanks again , Tiger.

From a wholesale outlet, a leyland cypress (6ft plus, in a 10 litre pot), should cost about £12 -£15. Bigger than that, and you start jumping consideraby in price. Phil J