Awel,
bergamot is not something I know about, it's properties:
Bergamot
Source: Ivory Coast. Latin name: Citrus bergamia. Family name: Rutaceae.
The bergamot fruit is not edible because the pulp is far too sour. As a result, the bergamot tree is primarily cultivated for its valuable essential oil. Bergamot oil is cold pressed from the fruit peel. It has a sweet & fruity scent. Bergamot oil is documented in old herbal texts. Some traditional uses: balancing nervous system, relieving anxiety and stress, lifting melancholy, for restful sleep, antiviral, cold sores, psoriasis, eczema and insect repellent. Bergamot may cause skin sensitivity to bright sunlight. Emotional profile: to relieve helplessness, hopelessness, emptiness and grief. Blends with: lavender, neroli, jasmine, coriander, juniper, chamomile, lemon, geranium, and cypress.
Along with other citrus oils it is phototoxic, and bergamot is especially so. Avoid exposure to the sun if used on the skin.
It isn't one of the normal choices for babies or trapped wind, but as I say, I just haven't come across people using it.
Fennel tea has been shown to speed up let down rather than actually boost supply, but it's not like fenugreek or the other stronger galactogogues.