I have had a similar job / task, with similar loyalty long term employees. "The day they put a computer on my desk is the day that I quit". One of them famously said.
You need to take the longer term strategy. Just because someone is old does not mean that they stop learning or growing, but it does mean that they can be very happy with status quo. It takes about 2 years to change a work / team culture to one that accepts changes easily.
Your task is to get the team / culture to one that is pretty easy-going about changes, and you need to start micro-small. You may already be 1 year into this already, by the way.
The key is that the employees need to feel like the change is their idea, like their ideas and POV matters. So. Ask them what bugs them about their current job or what they think would be better. Sometimes it is something simple, like having a broom always put away where it should be so they don't need to look for it, or something about the way a person in the job process ahead of them does / hands off the work. Sometimes it is an observation about an entirely different department.
Keep having casual / information discussions. The ideas / comments will grow slowly. Eventually you will be able to put a couple of ideas together and be able to suggest a very simple change. That is intended to benefit THEM, based on their comments. If you can start with non-electronic based changes (like moving the inbox to a more logical place), that are very easy and show benefit to the employee, it is great. Next, you can show one very small, simple electronic solution (like moving the paper hand-off to an attachment). You may even need to do this for them / sit beside them as they do it for a while, and make small changes to it as they struggle a bit. Note, always train them one on one, because they are embarrassed about lack of PC skills infront of their peers / co workers. (Just like you would be).
Example -- I had the email with attachment "ding" when it arrived to the inbox. It was a busy office and we had used the visual paper inbox as the means to trigger handling the task. The ding was to help overcome the fear that the hand-off via email would be missed (a complaint that the person made before we started trying it). This ding, however, drove the older person batty, and when I noticed and turned it off, they were suddenly much more approachable the next time I suggested a change. Because they knew I would do what I could to fix small issues that would come up, to their benefit.
The person with the quote above -- who had never touched a pc in his life before I sat down and trained him on a new system (taking place of the CHALKBOARD/RADIO system!) at age 65... well, he stayed for another 3 years after that PC arrived, before retiring, even though he had full pension a long time before..