Brian, as far as I understand it the applicant needs one Photographic ID (eg passport)
and one proof of address.
If she does not have any proof of address with a name that matches her passport then she should use her marriage certificate as proof of name change. I would have though that would satisfy the ID issue when combined with a passport.
Please check on that.

Better to resolve locally than going through the effort, time and cost of a new passport.

Just my 2 centavos worth

PS: Does she have anything from the Home Office/UKBA with name and address?