Hi Maggie,
I can really sympathise with that thing about waking up with your eyelids stuck to your eyeballs. It's horrible, isn't it? Especially if you're getting it in both eyes at the same time. I went through a phase of that, but fortunately only in my right eye. This was a year or two after I got my first SS symptoms (dry mouth and a first-tingling, then-numb big toe). The eye used to bleed at the outer corner sometimes too.
Strange as it sounds, I didn't even recognise it as being due to dryness at the time. This was still 3-4 years before I'd started to suspect I had SS and 6-7 years before I got diagnosed. It was my GP who explained it was down to dryness, and told me to use OTC eyedrops regularly. It clearly didn't occur to her to make the connection between this new symptom and the dry mouth and peripheral tingling sensations I'd reported several times in the previous year or so. She just said all three were down to old age, as I was in my early 50s. In all fairness, I still hadn't figured out it was SS at this point either - but then again, she was supposed to be the doctor!
Fortunately, the extreme dryness in my right eye cleared up after about six months - during which time I got two attacks of conjunctivitis - and has never returned at that level. These days, it's the other eye that's most affected. That's how SS goes with me - moves from one symptom to another and to alternating parts of my body. At the moment, I'm still able to manage it with OTC drops, but I'm now using a different, superior brand recommended by a UK optician. They're more expensive than the basic stuff, but I don't have to use them so often and they don't sting at all.
Another thing that an optician recommended when I was in the stuck-eyelid phase was to apply moderately hot compresses to my eyes every morning. They just made my eyes more sore, without relieving the dryness, but I've heard that they work very well for some people.
As you're in the UK, I'm wondering whether you've consulted an optician about this? They're very good, and don't just do sight tests. They can do the basic test for dryness and will write to your GP if they feel it's serious. This might just get things moving.
I hope you can start finding solutions soon, or alternatively, that your dry eyes will go into a long remission, as happened to me. Incidentally, that can be a problem too. In some people the physical signs of SS (as well as the symptoms) can temporarily disappear almost overnight, making you look a liar when you finally attend your hard-won consultation with a specialist. Only to return six months later when you've been "cleared", of course. I'm afraid the frustrations of being an SS sufferer can be endless.