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Looking at the movie on imdb, the family is obviously upper class English, and so I think it's likely they were using the Latin for mother and father 'mater' and 'pater'. The English accent (especially the more upper class you go) is non-rhotic and so they would sound like mayta and payta. It's basically a very posh, old fashioned version of mum/mom and dad, actually I've only heard it when an upper class stereotype is being portrayed.

In India mother is called "Mata" and father is called "Pita." Both are Sanskrit words, not names. I wonder if it had any connection to the mentioned words. The pronunciation of "t" here would be dental (toned down), not what it usually is in English.