My experience and the experiences of others on this site reference fogginess as one of the possible ancillary symptoms that can occur with a migraine.
There is an article on the site that discusses the multiple symptoms that can occur along with the pain of a migraine. It might be helpful for you to read about those because what you are attributing to a drug reaction may not be the case.
It’s also a good idea if you have a headache neurologist to go over what you are taking, and your array of symptoms for clarification.

Thank you so much for your reply! So, do you think that a constant migraine for over 6 years straight now could just cause fogginess on its own then?

Eletriptan has been my favorite rescue medication for my migraines. Unfortunately, I have had to give it up because I have an allergy to the orange coating on the pills.
I would feel foggy the next day, but I don’t know whether it was from the medication or from the migraine.
My migraines can last 3 to 10 days with occasional daytime periods of relief. Then the migraine would start building into the evening approximately 24 hours since I took medication.
The strain of the continuous migraine can certainly include feeling foggy and generally off.
I also use frovatriptan and this can sometimes break the migraine pattern after a couple of days of eletriptan.
Good luck to you for finding relief.

So, is it right away or after the triptan wears off that you feel foggy headed?

I have foggy head with all triptins. I really react badly