Relationships

I would depict the relationship of the two people in the photograph as follows:*****1. [It is the a guest-host relationship].The white-haired elderly lady is receiving the young man who is her guest with open arms at the door of her home [at her home's door]. She performs the duties of the lady of the house and [she] is very pleased with his visit. She is smiling kindly and cheerfully to welcome the guest. Her face is shining like the morning sun when while they are shaking each other's hands. Their relationship can be described as the that of a host and guest. *****2. The woman's hand,  with the manicured nails and the a ring on her finger, is resting on the male's hand. On the man's hand, you can also see the a ring. The couple, who has immortalized their hands in the picture, was, or perhaps, is engaged.*****3. The two little playing girls playing together are close friends. They like to joke. Each of these small girls is putting her finger on her nose. They are very similar, and what is more, they look almost identical. I guess they really are twins.***** MY COMMENTS ARE OPTIONAL - THAT IS, THE TEXT WOULD BE OK WITHOUT THESE CHANGES - BUT I THOUGHT THEY WOULD BE IMPROVEMENTS TO THE TEXT.  WE DON'T REALLY HAVE AN EXPRESSION "GUEST-HOST RELATIONSHIP".  IN DESCRIBING SUCH  A RELATIONSHIP, WE SOMETIMES USE AN IDIOMATIC EXPRESSION, WE SAY THE RELATIONSHIP IS "THAT OF [ ] AND [ ]".   FOR EXAMPLE, YOU MIGHT SAY "THEIR RELATIONSHIP IS THAT OF A JAILOR AND PRISONER". OR "THAT OF A CAT AND MOUSE" OR "THAT OF A PRINCE AND PRINCESS"  ETC. 

I thought all of Jakobs comments were great.  However, I believe the word "each" is matched with a "singular" verb rather than a plural, so I believe you would say "Each of the girls is...."  (English is awkward is this regard, in that sometimes whether the verb is plural or singular depends upon an earlier subject word (in this case, "Each") rather than upon an immediately preceeding word (in this case, "girls").