Yup, T talks about 'first memories' and while she says 'continuous memories' generally start around 3/4 (I don't have many before 10), she and I both have at least one very early memory.

I have a very clear memory when I was old enough to walk but not talk of my mother taking my brothers and I to a friends house, I guess for a social visit (my first memory and the only one I have of my biological family). I remember where the door of the apartment is, that the kitchen/buffet was on the right (it's where my mother put me down at), and the room right off the kitchen that had a toybox in it. The other woman apparently had a child the same age as one of my brothers (maybe around 6-7) and I remember them both kneeling by/looking into the box and the friends son pulling out a bat (plastic I assume but I don't know) and hitting my brother on the head, and my brother crying. I don't remember anything before or after that, just that specific part.

My grandmother says I have told her that same story since I was a very small girl with consistency. I think that it's possible that your memories are, in fact, very real.