Re Elementals by AS Byatt. I've got what appears to be a first impression and there's no signature. I've had a look at another AS Byatt book I've got, which she signed for me, and it does look alarmingly like a facsimile (ie no dent on the page when you look at the reverse) - she must use a very light touch, and a fibre-pen! I would guess you've got an original signature there.