For those actually on the shift, sending a "missed your text" or "thinking of you" message in the morning is standard to show you weren't ignoring the recipient.
General consensus is that non-urgent work texts after 10 PM are considered rude. It is recommended to use email or scheduled messaging for anything not time-sensitive. late shift
There is also a 2016 interactive live-action video game titled Late Shift where players make decisions for a student embroiled in a high-stakes heist. For those actually on the shift, sending a