Perhaps have a look at the Irish government website and see if they will issue their S1 to all Irish citizens? The UK will now only give an S1 to those of state pension age and who have worked and contributed to the UK, but the Irish government will have their own rules.
No, I'm a "self-pay" kinda gal. (AKA, I haven't contributed to the Irish system financially so logically I should not be on their payout.) I do have CSI as part of my pension package that is good world-wide, although it's got a sturdy excess and co-pays. And we will purchase what is required for the Daughter. Otherwise:
Austria -Doesn't seem like a good idea, right now, given how "things" are there, politically.
Belgium - Checking.
Bulgaria - too close to The Bear (Russia).
Croatia - Same. And not sure how politically stable it is.
Republic of Cyprus - too hot.
Czech Republic - Bear problems [edit - remove bear], language issues. Climate ok, cost of living ok - checking further.
Denmark - probably doable, waiting on tax info. Preferential tax treatment of pension.
Estonia - doable, Daughter has a friend there. Language issue. Potential Bear issues.
Finland - haven't looked at it yet. Suspect a massive language issue.
France - doable. Have to buy French private insurance at $250 a month, then can buy into their social network. Income taxes are somewhat unfathomable.
Germany - not terribly welcoming, would be good if Daughter gets a place in a Uni there (for free). EU regs indicate they'd have to take us. (Well, me, and her as long as she was a student. Then it gets iffy.)
Greece - too hot.
Hungary - Bear problems. We do have relatives we've never met, there, though.
Ireland - won't take an adult dependent relative. (EU regs only work on countries other than your own.)
Italy - north might work (in the mountains), south too hot. Politically kinda iffy right now, but investigating. And a Language problem - I only know how to cuss and order food in Italian.
Latvia, Lithuania - Bear problems? Have not investigated yet.
Luxembourg - haven't checked yet, suspect finances would preclude it.
Malta - too hot.
Netherlands - they'd take us, but taxes would be a killer. Not sure I can support both of us decenly there
Poland - Bear problems. Language problems.
Portugal - could do it, have to find somewhere with very cool summers, up north there I think. Preferential tax treatment of pension. Some language issues, I think not insurmountable.
Romania - culture/language/Bear problems.
Slovakia, Slovenia - not sure how politically stable. Bear problems.
Spain - doable, if I could find a part with a cooler climate. Both of us can manage a little Spanish, as well.
Sweden - woooo, too expensive for us!
UK - we're trying.
Basically, wherever we go has to not have extended periods of heat above about 80-85F (26-30). Short bursts we could manage, but not weeks of it. Cold is not an issue - as long as we can put enough clothes on/heat our home sufficiently. They have to accept an adult dependent child (which, according to EU rules, they all should). I can go up to 30% of my income for taxes/health insurance charges, but not really a lot more. (The higher those are, the cheaper housing needs to be.) There needs to be enough English language used so that we can get along, and, ultimately, the Daughter will need to be able to earn a living there. (Although she may relocate later on.) I am concerned about the political stability of a lot of the smaller Eastern EU countries, and those within throwing distance of Russia.
So, it appears we have a few options, so far, if the UK throws us out. We are really hoping they do not, however.