One I have yet to work out is an adoption of a child in 1967. The child was bon in 1946, and the parents married in 1947. Why adopt someone aged 21?
Assuming you have seen a certificate from the original birth registration, the mother is named, but no father, and it is annotated as "adopted" in the margin ? If so, then normally you would assume that the father wasn't the child's biological parent, and so the child was adopted to legalise the step-relationship - probably for inheritance reasons. As mentioned it had to be done before the child was 21 (18 today).
If both were the natural parents it should have been a simple re-registration under the Legitimacy Act - but there were circumstances when that couldn't happen, so there may be another explanation (if they were the real parents).
If one (or both) wasn't free to marry when the child was born i.e. they were married to someone else, then the Legitimacy Act 1926 couldn't be used - and I think the adoption could be a way of legitimising the child and getting around that (but I would want to investigate further to be sure).
That restriction, which was designed to ensure that children of "adulterous relationships" could never be made legitimate under the Act, was removed under a new Legitimacy Act in 1959.