Oh, nicely done!
So Adelaide/Adele is consistently from Paris, and probably b. about 1847/1848
Seleviere is not, I think, going to be the original spelling of her name. If there is a document that has her maiden name on it, I'd like to see a copy of the original.
I had a look through the index of reconstructed records up to 1859 (can be found at
http://canadp-archivesenligne.paris.fr, "reconstructed" because of a fire that destroyed many records), for names starting Sel- but no luck. It could also be something like Seillière.
Another index of some Paris records is at
http://www.geneaservice.com/recherche/index.php and I checked but no suitable Briner marriage there.
Did Charles die in 1901? (listed on freebmd as Charles Briner aged 60).
Is Adelaide the one who remarried in 1902 in Orsett? If so (and I think if you look for her and possible spouse William Hocking in the 1911 census you will see it very likely is), this late marriage could be a very good clue to Adelaide's origins, if she listed her father's name on it.
http://www.hls-dhs-dss.ch/famn/index.php?lg=e From here "Briner" is mostly found in the Canton of Zurich.