Hi it52,
I'm glad I could pique your interest with my 'DragonSong' story, although I'm fascinated to know how you see this as Television, then as I type I can now see the opportunity to develop a spin-off idea along those lines. (I hope no out-of-work 'Community' show runners are reading this site, on second thoughts maybe I hope they are) I've always seen this as a big, wide-screen live-action CGI adventure family comedy.
Judging from the different views about putting George's name into the logline I think it has achieved the desired effect, i.e., to get people talking about it and asking questions. It is a deliberate act to reclaim the name away from 'dragonslayers' and questing knights but also to introduce those types of characters into the mix and get some traction from the limited word count, space & time needed to catch a readers attention.
I take your point about the palaeontologist but I'm not so sure that the logline always needs the major antagonist referenced, as the logline indicates Beth has her own world to sort out, George is the catalyst character to help her do so.
Interesting that you assumed the twins were both girls, they are in fact a 13 year old boy Mat & slightly older girl Cat, craving attention and of course another family pet - nobody however was expecting George's arrival.
I don't mind that you had a crack at rewriting the logline, I should add that I find no names in loglines highly impersonal, which is why I've included the names I have chosen. Beth is a favourite name but not a game changer, George I believe is structurally important to the story and I would want it to stay. But as Maidenscombe has already pointed out if and when the script is sold the idea becomes someone else's property and who knows what might happen.
It's been great to get the feedback, appreciate you putting in the time.