In the first two decades, the operation of the school was marked by a frequent turnover of teachers, but in 1935, Guðrún Þ. Sveinsdóttir came to work at the school and she served continuously until 1956.
Skólastarfið fyrstu tvo áratugina einkenndist af tíðum kennaraskiptum en árið 1935 kom til starfa Guðrún Þ. Sveinsdóttir sem kenndi við skólana samfleytt til ársins 1956.