Unfortunately, I can’t figure it out. Is this a photograph of a father and daughter or are the pair performers of the New York stage? The man looks dapper in his suit, top hat, and cane. The young girl is adorable and well dressed. Be sure to note her shoes/boots. The gentleman is very photogenic and certainly has the appearance of an actor. The photographer of this “enigmatic” portrait is Napoleon Sarony, the well known and highly respected celebrity photographer. Sarony photographed a large number of the actors and actresses appearing in New York theater. He was an eccentric man but very talented. A faded inscription on the reverse of the photo indicates that the photograph was taken in 1879. (SOLD)
THE CABINET CARD GALLERY 
They could be related in any way. And he could be even he Guardian.
her
Whoever he is, he looks smug. SHE, on the other hand, looks unhappy. Opens a lot of speculations for me. Yes, I noticed her shoes. Love them! I’d pay (not much, but some) to know what little book she is holding.
Dig his fly-shaped watch fob.