After the first period of play (20 minutes) is concluded.
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There's still only one intermission between the second and third periods... What you're probably asking, though, is whether games were, at one time, played in two halves with one intermission, rather than in three periods with two intermissions. And yes, that was the case from the 1870s onward, until the three-period, two-intermission format was introduced for the 1910-11 season in the NHA (National Hockey Association), the forerunner of the NHL.
Hockey was historically not played on ice until around the invention of modern ice hockey. This was well after the creation of modern field hockey, which itself derived from earlier variations. In short: field hockey was first.
AnswerWe do not know who made the first hockey stick, as hockey in various forms has been played for centuries and the first players did not keep records of their games or equipment.
Zdeno Chara
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