When you first launch Zoom on the laptop if you didn't enter your name and left the box checked it will use the computers name. This means when you launch a meeting in the future, you will have the computers name until you leave the meeting, sign in to Zoom with your HCC account, and rejoin the meeting. 
To check if your name is the laptop one in Zoom. Click the Participants button on the bottom toolbar. 
This will open a pane to the right showing a list of people in the meeting, your Zoom name will be followed by (Me) in the list like below.
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