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Re: Plymouth Register Office
To be certain of where it was located in 1884 you would need to access Street Directories for this date or some of the other Plymouth Directories. Many are held by P&WDRO and the Main Library in Plymouth.
It's possible that P&WDRO would know the location of the Registry Office at this date, you could send them an email asking, contact details on their website. https://plymhearts.org/archives/