Did they come and visit you, when you were an impecunious new grad, an exhausted new mum? It's not all on you, you know... Really not - threatening to throw your own daughter out was OTT even for then, more normal would be stern mutterings about sleeping in the guest room etc and a don't-ask-don't-tell party line.
Be honest with yourself, are you wishing for a past that, well, would have required not just you but also your parents to have been different people?
I similarly "flew the nest" at uni because of what the family background was. But equally, after slightly closer relations were restored (when I was older) my parents moved further away off their own bat, and didn't seem to be that keen to arrange visits - they had their own busy lives.
When it became clear that my elderly mother didn't have many years left, I took steps to make sure we saw each other more frequently. We didn't go on hols - despite her illhealth she still had lots of friends and interests! - but we made memories together, days out, visits, regular phone calls etc.
But, she was interested in a closer relationship too.
My Dad wasn't, really, he was a different character, and I think trying to force things wouldn't have worked. I had to work out how we best rubbed along and steer towards that.
In your place I would put aside shoulda-woulda-coulda thoughts about the past. It's done, for good or bad. Rather, concentrate on who the two of you are now, and making the things the best they can, realistically, be.
Is she interested in seeing you, do you both enjoy visits and phone calls, that's question number one! Because if you just always inevitably irritate each other, say, or she is always rude to you or completely self absorbed, you may have to accept that neither the relationship, nor your Mum, are what you'd like, and decide what to do based on what they actually are.
What works well? If you were to take a bit of extra time off work so you could see her, would you resent it, or could you take the financial hit and it would make visits more rewarding? Would it be easier to stay in a nearby Premier Inn or similar so you can decompress a little?
Do things go better on neutral ground eg meals out? Or is she keen too for a closer relationship, and might she consider moving into sheltered accommodation near you?
I did take some extra unpaid leave each year - about a day a month - to visit Mum. Sometimes visits to (ironically!!) Stately Homes / gardens, sometimes just hanging out and helping her sort e.g. her garden. Good times for both of us.
Dad OTOH was just interested in his hobbies and would either go on about them and/or wind people up, so my thinking was, he clearly had little interest in seeing me per se, because, you know, people you want to see, you don't treat like that! So we'd try and meet for meals out as that seemed to be the least worse scenario.
Would regular calls or video calling work for you, to allow you to keep in touch despite the distance?
Only you can know what's right for you. But remember we are all - you, your parents, their parents, your kids - human and fallible. Sometimes it helps to let go of guilt and just cut everyone a smidgen more slack.
Oh and 