The music used in the question show is not the authentic music from that show. They always used Spiritual proclamations by Morton Gould, which became almost a theme song for the show.
The steam loco is not a Union Pacific Big Boy. Actually it's a German Federal Railways (DB) Class 01. A much smaller locomotive.
When Stig-Helmer gets a telephone call and is asked to participate in the Swedish version of The $64, 000 Question (1955), which is about to be launched, Hjördis says the call comes from Sveriges Television (Swedish National Television). However, this show began in 1957 and back then, Sveriges Television did not exist. All Swedish TV was broadcast by Sveriges Radio (Swedish National Radio).
In the time when Stig Helmer was baptized the clergy of the Church of Sweden almost never used röcklin and stola at such an occasion. Most often they wore a kaftan and a black robe.
When Stig-Helmer is asked by farbror Sven about when the march across Store Bælt (a Danish sound between the two islands of Fyn and Sjælland) took place, he answers "30 January, 1658" and farbror Sven says it's correct. In reality, it was the march across Lille Bælt that took place on that date. The march across Store Bælt actually took place between 6 and 12 February that year.