Reading between the lines, this is most likely a question related to eligibility for SSP (statutory sick pay).
To be eligible for SSP the employee has to earn at least a certain figure and that figure is currently £107 per week gross. If she doesn't earn that amount, she is below the lower earnings limit and she doesn't pay any NI - which is precisely what the paying of NI entitles one to do when sick.
If this is the case, the answer is no, she can't get SSP (which would in any event be paid by the employer, for up to 28 weeks. It is a fixed amount of about £85 per week.
It is just possible that her employer has its own sick pay scheme, though that's pretty unlikely here, I reckon.
If I've guessed this scenario wrong and she does find she is eligible, your pension has no impact on the spouse's entitlement.