I was confused when I first saw this pic because parts look like Schlumbergera gaertneri/Easter cactus, but other parts don’t. Wikipedia says that there are six to nine recognized Schlumbergera species. I think it may be Schlumbergera rosea/Hatiora rosea. If it’s not that than second guess would be S. gaertneri. I can’t tell if my eyes are playing tricks on me, but are the segments long and thin?

Yes they are, iI sent the photo far and wide and the first guess has been Pseudorhipsalis rosea which iI am going with until iI see blooms.

Yes, what used to be called Rhipsalidopsis rosea. It is very typical for that plant. My great aunt always had several plants going, and spread it far and wide in the community via freely given cuttings. My mom also had it, and so did I. I lost mine years ago, and still regret it. But someone promised to send me a cutting, which should arrive one of these days. A big plant of these is very impressive in bloom!

Actually it's Schlumbergia rosea now

Too bad. Rhipsalidopsis rosea rolls off the tongue far more elegantly. Once you have spent five minutes getting it just right ;-).