Lady Metcalf is a friend of Lady Catherine de Bourgh who takes on a Miss Pope as a governess purely based on Lady Catherine's suggestion. Lady Catherine assures her Hunsford audience that Lady Metcalf told her "you have given me a treasure."
Because of Lady Metcalf's honorific, we know that she's married to a Knight or a Baronet, making her of lower noble rank than Lady Catherine though likely still mingling in high society. It is unclear, however, if Lady Metcalf lives in Kent or if Lady Catherine knows her from time spent in London.