Banks will accept other types of I/D but may only offer a Basic Bank account which will only give a cash card and allow direct debits.
Several items will be required, some of which will be treated as I/D and some for the address.
I/D
Current full UK Driving Licence (old style paper version)
Disabled parking document
HM Revenue & Customs tax notification
Recent Benefits Agency letter (Department for Works & Pensions, Jobcentre Plus, Benefits Agency, Veterans Agency) confirming your right to benefits
ADDRESS
Council tax bill (valid for current year)
Utility bill (dated within last four months)
Telephone bill (dated within the last four months) – mobile phone bills are not acceptable
Sky or cable TV bills (dated within the last four months)
Credit card bill (dated within the last four month). Certain conditions may apply for overseas financial providers
Bank, Building Society, Credit Union statement – showing current activity (dated within the last four months). Certain conditions may apply for overseas financial providers
Mortgage statement from a recognised lender (dated within the last 12 months)
Disabled parking document (blue or orange)
HM Revenue & Customs tax notification
Tenancy agreement (must be from a local council or reputable lending agency)
Recent Benefits Agency letter (Department for Works & Pensions, Jobcentre Plus, Benefits agency, Veterans Agency) confirming your rights to benefits (dated within the last four months)
Each Bank may vary slightly, but if she googles Bank name I/d she should find a full list.