A TRACON Controller reported they misread the flight strip of a departing aircraft resulting in the aircraft flying below the minimum vectoring altitude.

Narrative

I was trying to coordinate several departures off of ZZZ; ZZZ1; and ZZZ2. There also was a lot of coordination for airworkers in the airspace and trying to coordinate a flight of 2 military aircraft going to ZZZ3. The CIC at the time dropped off the strip and I noticed the ZZZ departure. I was then looking at my traffic and he had mentioned something which I did not catch as I was busy with my traffic. After the release of Aircraft X it was then I noticed on the flight strip ZZZ [departure] crossed off and ZZZ1 [departure] written on the strip. That was the reason for the question. I turned on the EOVM map and decided that an expedited climb was safer than vectoring below the MVA.Maintain better situational awareness and just issue the low altitude alert if I wasn't sure of the situation to be on the safe side. Perhaps another option is to have ZZZ1 Tower readback the actual clearance as opposed to just reading back they're initials to avoid miscommunication between ZZZ1 and flight data. They are the only airport in our airspace that does that.