Don't Get Your O' Logists Mixed Up

My name is Dermat O' Logist,
An Irishman expert on skin.
My Dad goes by Herb O' Logist,
No slouch at Chinese medicine.

Once as we practised in tandem,
A terrible mix up took place,
A hapless patient at random,
Caused egg to appear on my face.

Cure-wise what he sought was herbal,
But wrongly arrived in with me,
Out came a whole load of verbal,
When implying I'd seen worse acne.