It sounds like you had a congenital lower lid retraction. Without knowing more and examining you, I cannot comment on how could this be improved nor can I comment on the Irish health care system. I am sure though that if you had the financial ability, you could get an answer to this problem in the private heath care sector in Ireland.
As regards Botox - Botox will relax ONLY the muscles it is placed in contact with. If an experienced Botox injector places small doses of Botox along the side of the eyes, under the Crow's feet areas AND you do not rub it centrally to the lower lid immediately after the treatment, the Botox will NOT weaken or relax the lower lid and cause it to droop further.
When inexperienced Botox injectors "chase" wrinkles to the lower lid in their attempt to smooth those wrinkles, the orbicularis oculi muscle of the lateral lower lid is weakened and balloons out allowing more orbital fat to pooch out resulting in less visible wrinkles but much more visible bags.
In your case, seek an experienced Plastic surgeon / Dermatologist and you should not have any Botox related problems with your lower lid.
Dr. P. Aldea