Presumably we also remove the Scottish and Irish aspects of the flag, so we end up with just the English flag?

I went to a lecture on St George around 6 months ago, and it turns out the red cross on a white background is not St George's flag after all - early paintings show a completely different flag. In fact, according to the lecturer, the thing we call St George's flag was adopted in (I think) the 16th century from the city flag of Milan. St George is also patron saint of Milan, and someone confused the saint's flag with the city one. There is some irony in the very flag arising from confusion with Europe...