Answer:
Lady Bracknell is referring to Cecily’s guardian- Jack’s background as he was an orphan found in a baby carriage in London railway station.
Step-by-step explanation:
As appearances were of paramount importance in Victorian society, Lady Bracknell is enquiring if Cecily suits his fiancée’s wealthy status and social class. As a moral guardian of social distinctions, this wealthy lady asks for titles and family names to prevent lower classes climbing the social ladder. If Cecily happens to be a parentless child from a working class, the future bride would lack a suitable financial inheritance or dowry.