Don't know if this would help you, consider looking at other members of Apiaceae.

p-Mentha-1,3,8-triene has been reported as major constituent in essential oil derived from a number of plants belonging to Apiaceae and Lamiaceae (mint) families. Some of the plants and respective content (%) of p-methatriene in their essential oil are exemplified as under:

Anethum graveolens L. (Dill) leaf essential oil (pasley oil) - (5.4–10.0%),;

Cultivated plants of Thymus pubescens - (8.87%)

Petroselinum crispum (Mill.) Lynam - (9.2%)

Curcuma longa L. Kasur variety (Leaves) - (1.76%)

There are other reports also, which you kind find in literature.

1,3,8-p-Menthatriene is the principal component of the essential oil of parsley leaves

Thank you

parsley leaves