Stuck in a name-changing loop with HMRC

FrustratedofNorthumberland

My wife is trying to change her name with HMRC.  She has gone to this government web-site, and signed in using Government Gateway, which requires her to prove her identity.  She cannot prove her identity, because the name listed by HMRC is different from the name on her passport and driving licence.
So she's in a genuine (I think) Catch 22 situation: in order to change her name with HMRC, she needs to prove her ID, but in order to prove her ID, the names need to match.
Any advice as to how to break out of this loop?  It's not obvious which number to phone, and the waiting times are off-putting. 
Would sending HMRC a 'Deed of change of name' do the job?     

marcia_

 Birth certificate showing birth name and passport to prove change of name? 

Tony5896

Also marriage cert / deed poll showing change of name .. 

FrustratedofNorthumberland

Thanks for the suggestion.  My wife eventually got through on the phone, and it all appears to have been sorted, without too much trouble!  It seems strange to me that you can change your name over the phone, without having to provide evidence of anything, but fingers crossed!

Bigwheels1111

My friend wants to change from married name to maiden name.
Has no photo id, big problem.
But as benefits are in married name the change could screw her up big time.
So just lives using both.