Mmmmm...entering nostalgia mode...taking readings on paper...those were the days...
I'm not aware of anything tailor-made for that application, but it shouldn't be a huge ask to set something up.
I'm also no programmer, but I've had the pleasure of using some well-thought-out Excel spreadsheets over the years for this express purpose; a fellow operator with strong macro [?] writing skills understood our needs to a tee, not only creating an app but tweaking it so well that its use was soon accepted at the very highest levels not only of our company but by the regulatory agencies with whom we had regular dealings.
Is there reliable internal Wi-Fi within the entire site? If so, the tablet could simply be a satellite keyboard connected to the central plant servers, making the readings taken almost instantly available to all departments in real time. Failing that, the tablet would have to be docked periodically so the readings could be transferred from storage within the tablet to the central servers, the interval between dockings [hourly, between shifts, or once daily] to be locally determined.
CR
"As iron sharpens iron, so one person sharpens another." [Proverbs 27:17, NIV]