Even if you do lend her the money and she pays off the debt, the CCJ will stay on her credit record for 6 years, unless she pays it off within 28 days of the judgement. Presumably, she is worried that the firm she wants to get a job with will do a credit check on her, so the CCJ would show up anyway.
Lending money to friends & relatives is often a bad idea - there have been various threads on here about problems arising from it. If you do do it, make sure it is a proper written signed agreement, with a fixed repayment schedule (dates, amounts, amount of interest); also make clear you will get a CCJ if she defaults on the repayments.