Hi there,
I found an entry for David Barr in the 1831 Census for Co. Londonderry. If you search for 1831derrycensus, you should get a website for Bill Macafee, where you can download a PDF file. Hope this helps.
I don't know where this street is, probably no longer exists.
You can view the actual page through this site-
census.nationalarchives.ie/pages/1831/Londonderry/Coleraine/Coleraine/Meeting_House_Place/301/
Meetinghouse Place now Upper Abbey St.