Pension Credit is not cut off at �6000 savings. For every �500 above the �6000 then �1 is considerded as income. At age 65 there is another Pension Credit she could qualify for which is savings credit. There is another calculation for those with savings. She could still qualify.
As a means tested benefit you will be aware that all income, inc her new monthly payments, will be taken into account.
Should she give money away or spend excessively it could be regarded as deprivation of capital and she wouldn't receive Pension Credit if that amount would have taken her over the limit.
Try this calculator
http://www.thepensionservice.gov.uk/pensioncre dit/calculator/home.asp