The 7 essential oils most commonly highlighted for cough support are eucalyptus, peppermint, rosemary, lemon, oregano, tea tree, and frankincense. According to your source text, these oils are valued because they may help in two main ways: by supporting the body against the causes of cough, such as microbes, and by helping to loosen mucus, relax the respiratory system, and make breathing feel easier.
Eucalyptus is often used because it is described as an expectorant and is commonly chosen for coughs with congestion. Peppermint is popular for sinus congestion and scratchy throats, while rosemary is often included for respiratory comfort. Lemon is commonly used to support immunity and is often added to diffuser blends. Oregano is valued for its strong antimicrobial reputation, tea tree is often chosen for its cleansing and refreshing qualities, and frankincense has traditionally been used to support the respiratory system and soothe cough discomfort.