Dr. Craig refers to experience he had with a colleague named "BJ" while in Korea. This is the first of several references by Dr. Craig to having served in Korea with a doctor named BJ Hunnicutt, the character from MASH.
Nurse Papandrao says she got the idea for a male stripper at a birthday "from some cop show." An episode of Hill Street Blues, to which St. Elsewhere is often compared, featured a birthday male stripper about a year previously.
Nurse Papandrao says she does not know who called a meeting - "Charles, maybe, or Burrows, or Charles." Charles-Burrows-Charles is a famous television production company that produced Cheers (a show also set in Boston with occasional crossover plots).
Mrs. Hufnagel tells Morrison that she and her husband used to run a diner called Flo & Eddie's. This is a reference to Mark Volman (Flo) and Howard Kaylan (Eddie), the two frontmen of the '60s pop group The Turtles, who, for contractual reasons, went by assumed names when they worked with Frank Zappa and released albums as a duo.
The title is a parody on the expression "Dr. Livingston I presume," when reporter H.M. Stanley found the lost physician in darkest Africa.