The Queen shouldn't have too much trouble with Ryanair.
She'll borrow a fiver from one of her aides and use that as her identity confirmation. If there's a still a doubt she'll get a tenner as well.
I would hope though, that in view of her age, she will not be expected to join the race to the aircraft for the best seats. If she does have to run for it and her Ole Man is with her I can imagine a few choice words from him commenting on MOL's parentage.
If things go well with Mum and Dad I can see her eldest son using FR to take his lads to the ski slopes this winter. Either that or a package with Thomson Holidays.