Insurance Experts - any advice?

My daughter in law had her Iphone 5 stolen in a nightclub on Friday night (a busy Halloween). It was on contract from Vodaphone, and insured through them with all payments up to date.  However, they're insisting that she provide 'proof that it was stolen'.  Short of CCTV with someone with their hand in her bag, a black and white striped sweater, with 'Villain - call at 449 Blogg Street, Bloggtown to arrest me' embroidered on it, I wonder what this might consist of? 

She reported it immediately to bar staff and bouncers at the club, and then to the police and has a crime number, and she then asked Vodaphone to block the phone as it had been stolen. but apparently this is not enough. 

My son knows the staff at the club and they've all viewed the CCTV footage which shows them going into the club, with her on her phone, then tucking it into her bag and zipping up the bag.  The next footage shows them at the bar in a melee of people, and then later there is footage of her going upstairs to the toilet with the bag unzipped.  She discovered the phone was missing whilst in the loo, where she'd gone somewhere quiet to ring for a taxi.  Footage then shows her immediately going downstairs to the bar, and then you can see the bar staff chatting to each other, as well as them looking on the floor near the bar. 

Any ideas what else she could do to 'prove' the theft?  A new phone will be many hundreds of pounds, and the contract still has eighteen months to run!

To cap it all, yesterday, she bumped her car, she's fine fortunately, but their dog (who was harnessed in) was thrown forwards and had to have his head wound stitched!  Not a good weekend for them all!