Husband And Wife - State Pension.

[Barquentine]

Husband continued working & paying NI contributions. Wife gave up work to look after children and home. Both reached retirement age. Husband claimed state pension and returned to Mauritius whence he had emigrated in 1962. Wife's NI contributions too low to qualify for pension.
(a) Is he still entitled to state pension if now non-resident (not certain about this since he spends 3 months a year here).
(b) Is she entitled to claim a share of his pension (he keeps it all for himself!)

[Buenchico]

Someone living abroad is still entitled to receive their State Pension. However if they live outside the European Economic Area (or any other country that has a reciprocal arrangement with the UK) the amount paid will remain the same each year, rather than increasing as it would if they lived in the UK:
https://www.gov.uk/state-pension-if-you-retire-abroad/how-to-claim

The wife can't make a direct claim on her husband's pension but she might be eligible for a 'top up' because of his NI contributions:
https://www.gov.uk/state-pension/eligibility

However it's actually Pension Credit that she should almost certainly be seeking:
https://www.gov.uk/pension-credit/overview

[factor-fiction]

Yes, as I understand it the process of totting up NI contributions is a bit pointless as the pension credit will kick in anyway, although this will change when the new flat rate pension come in