If you spent an academic year in France as an assistant(e) (12 hours per week) during or after your British degree course and paid SS contributions you should receive a pension from CNAV, based on your earnings. As a woman you should receive 8/158 for the academic year and 8/158 for each child, no matter when they were born. I do not know the rules for males. I receive 24/158, based on my earnings in 1968/69, which is not to be sniffed at. It goes a long way to paying my local taxes and water bills.
The French are generous. An elderly neighbour receives 20€/month as her now deceased husband spent 3 months as a forced labourer in Germany at the end of the 2WW.