[Weary Tourist]

Civil registration started in 1837 so you should be able to obtain Elizabeth Jane Webb's birth certificate as well.

The normal course of action though, is to obtain the marriage certificate of Charles parents. The birth certificate reveals the all important maiden name of the mother which then enables two separate entries to be found in the marriage index where the registration reference is the same. So it would be something like the following made up entry.

Mar 1861 John Smith Haslingden 8e 867
Mar 1861 Mary Jones Haslingden 8e 867

Of course there are other sources that should be consulted wherever possible. However it can be difficult for those living overseas, as not all records are on-line.
Other sources would include Census returns, newspapers, Wills, various websites etc