quote:1. Tá níos mó go mór d’fhios a gnótha agamsa ná mar is dóigh léi.
Literally "I have much more knowledge of her business/affairs than she thinks". d'fhios is simply de + fhios.
quote:2. Is dóigh léi ná fuil a fhios agamsa é.
Yes, you would assume logically that it should be "tá a fhios agamsa", literally "I have its knowledge" but I've never heard or seen that from any native speakers in the south, only "Tá's agamsa é".