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I mean, everyone I know had the same sort of Christening - private ceremony with maybe 50 or 75 people in attendance, mostly family and old friends. After the ceremony, everyone trots off to the country club, or maybe the grandparents' house if it's sufficiently sized, and has brunch or canapes and drinks champagne and makes cooing noises at the baby.
We're upper middle class Episcopalians in the South, but I know Catholics and Methodists who have christenings just like ours, so maybe it's some sort of convoluted religio-social-cultural-regional thing.