Hmmm, contribution based jobseekers allowance may not be payable as it's based on national insurance contributions for the last two years. So, as you say, she doesn't seem to qualify for this.
The other type of jobseekers allowance, for those who aren't eligible for contribution based JSA, is income based. It's based on income and savings so if she (and you) has savings over a certain limit she won't qualify. I don't know what the limit is, sorry, but I guess the thinking is that if she has enough money to tide her over while looking for a job then she doesn't need the benefit. If her income was to fall below the limit then she'd be eligible.