Yes, I do, but not on personalized stationary. I use “thank you” cards and write a short, personal note in my own hand on the inside.
What an odd notion - I suppose if I stayed overnight in the home of someone I barely knew I would do this, but honestly, I’ve never stayed overnight except at the homes of relatives or extremely close friends. Friends so close, in fact, I’d find it vaguely insulting if they were to put on such formal airs and vice versa. Yes, profuse verbal thanks, perhaps a small gift upon my arrival, but a letter on formal, personalized stationary afterward as well? I have honestly never heard of that before!
Unless you’re suggesting that when I stay overnight at my parents’ home I write them a formal note thanking them for the privilege…?
No, I send a tasteful card, maybe some flowers or a donation to a charity in the deceased’s name if that is indicated as a preference, and if possible, a face-to-face appearance at a wake/funeral to express my condolences in person or if that is not possible a phone call.
In the business world I have only ever used the company letterhead or, in some instances such as holiday cards, materials provided by the ocmpany.
Honestly, I have no reason to purchase personalized stationary, it would be a waste of money for me. If I had an occasion for such a formal note I’d compose something appropriate on the computer, add some artistic touches, and use the printer to generate it. I suppose there are people for whom this sort of formal correspondence is a regular thing, in which case it makes perfect sense they’d purchase such a thing, but really, the whole thing strikes me as very 19th Century and an affectation. Also, very southern, which I note by the OP’s location field, is in fact where she lives.