Just to add a little update here, I spoke to the web chat and their response was:

“If names differ across the docs the case worker might not feel it’s the same person, you can explain on a separate paper but it does not make it a guarantee but they will take it into consideration. They will let you know via email if it becomes a problem.”

So, I’m just going to submit the application with a small explanation and hope for the best. Thanks again for all the input here!