For the next three years she was not only head of Elisabeth Gad's School but taught women at the Hjælpeforening for kvindelige Haandarbejder under L.I.
[2] Despite various educational reforms, the institution continued to operate as a private school with Jespersen as principal until 1930.
The school was also the first to offer foreign travel for its pupils with trips to Italy, Switzerland and Austria.
[2] On the academic front, Jespersen introduced a far more demanding curriculum than that required by the authorities, taking a special interest in covering the main figures of the Modern Breakthrough.
Under the pen name Hella S. Lynge, she published two books for schoolgirls: Kursuskammerater (Coursemates, 1894) and Ungdom (Youth, 1896).