Thanks a lot, really, so good to have someone like you. One of the two was logged into the neighbour’s wlan. Changing that fixed the problem for a moment, then it seized working, then started working again.
As for your second question: Both mac’s names end in a number, but neither adds another number to it's own address. The MacPro says “afp://[MacPro’s name]“ or “smb://[MacPro’s name]“, the Macbook on the other side says smb://[MacBook’s name] (without quotation marks). Upon Finder>Go>Connect to Server, the MacPro adds _smb._tcp.local to the other computer's name, the MacBook does no such thing.
Now, once this seemed to be up and running, I tried setting the MacBook to wake upon network access and putting it to sleep, to no great avail, as active file sharing prevents the mac from going to sleep in the first place, yet when closing the lid, after some time it does seem to sleep but won’t wake. Maybe my attempts are futile?
(The idea was to use one of the macs as a file server instead of a NAS, because I use a database app (devonthink) that won’t run well on a NAS but will on a mac. However, an older mac somewhere in the background as file server would obviously have to be allowed to enter sleep mode rather than running non stop. It appears that cannot be achieved, or can it, maybe with another tool instead of file sharing?)