Wow! So much praise to heap, where to start?
Marmalady: FreeBMD! Of course! Why didn't I think to look there? "My mind is going, I can feel it..." Thank you for the reminder. It's been a long time since I did any real research and I'm SO rusty.
and LizzieL: I'm guessing that with a Birth and Death registered within six months and no name, that it's an infant death? Not expected to live perhaps? And probably not Rose?
Debra: You've shown me that I was looking in the wrong district. Apparently Clifton was a separate place to Bristol, until March 1877 (according to FreeBMD). Make the search change in Ancestry and there it is. I wonder how how much more I've missed? All of the References, Clifton, Bedminster, Barton Regis, are all to areas within the city of Bristol, which is what I would expect. Selina Cantle is shown from Keynsham, a small town just outside Bristol. Mary E England shows from Bath, again not far.
The search change in Ancestry shows up a LOT of Weeks entries in Clifton, so obviously a cluster of familes there. I need to check further there now for any related to mine.