This may also interest you. The Glasgow Story site has valuation rolls, which are searchable, on it's site. Brown Street in Port Dundas came under ward 16 and you can see an image of that ward
here. You can enlarge this image for a better look. If you look at the
I in
XVI above
Cowcaddens then you will see Brown street. As Falkyrn said this is now named Civic Street.
You also mentioned that you Grandfather was in the Merchant Navy. It's well worth searching the
National Archives in that case. My grandfather was also in the Merchant Navy. The good news was I found his Seaman's Pouch on the site, the bad news was the cost to actually get digital copies of the the documents contained in there. I got his ID card, photo included, which was the pick of the bunch.