Oops, I missed a post...
Okay. I think I have an idea of what you have in mind. I'm going to make this post a little longer than normal because I have to kind of do this shooting from the hip, so to speak. I can't find exactly what you're looking for by doing a Google search. Probably I'm using the wrong search items.
The dial less phone I posted is used in commercial applications where they do not want the user to dial out. That is usually a courtesy phone, I house phone, or a phone in a warehouse or someplace where it is used for a special purpose only.
But what I think you want is something for an elderly person. Perhaps somebody with the little bits of Alzheimer's or some other difficulty remembering details. Perhaps this person would like to call one of their family members from time to time if he or she needs assistance. But such individual does not need constant attention all the time, just needs to have a way to call up a friend or two when he or she is lonely or need some help.
Here's what I am thinking about. The local phone company might already know what it is I'm talking about and you can ask them if they have a special arrangement for seniors that need assistance. Sometimes these services are available for very low cost. But otherwise it can be very expensive. So you just have to ask locally.
Now, here's my do-it-yourself project. In the simplest form I would just go find a standard modern telephone that has some kind of speed dial built into it already. Then I would have somebody help me fabricate a cover that would covert that would hide the buttons from view. Some of these speed dial phones have three buttons off to one side that are used for fire, police and ambulance. But these of course have to be programmed ahead of time.
So after making the sure the phone works as it should, I would program the street speed dial buttons for a couple of friends and maybe one emergency number. Then I would place the cover back over the dialing system so that only the three speed duck buttons would show up. Then I would install this in a convenient place for my elderly relative and instructor how to use the three buttons. I would explain to her that the red button is only for a dire emergency. The other two buttons would be family members. That should be simple enough for her to remember. Because the others buttons are hidden from view, she will be confused by all the other buttons available.
Now here's a variation on the do-it-yourself project. In this one I would cover all the buttons and make them inaccessible to the elderly person. But I would do put something inside the telephone that would cause it to start one of them preset speed dial numbers after the receiver is taken off the hook. This might be done perhaps with a small relay and a capacitor. The relay contacts would close and the capacitor would momentarily allow some current to go through one of the buttons. This would simulate a button push. Of course, this would take some experimenting. But there are low power relays that can be had at the surplus electronics stores for a very reasonable price. I have not done this, but this is the sort of thing that I used to do when I used to do more things.
Perhaps somebody else here would know how to do a Google search for the exact thing were looking for. There are some cell phones that have features for dialing emergency number, but my feeling about cell phone still kind of negative. They're just too hard for an elderly person to understand, myself included.
Does this describe what you had in mind?
Or did you want a special phone that would dial Moscow in case of World War III?
Just joking.
End of dictation.