I started my family history at the age of 9 - By asking my grandparents who their Parents and Grandparents were (I've verified these now) .
My Grandfather had also done some research on his maternal side. His theory was a Mother always knows her children but it's a wise man that know his children.
So I had a great start, this was pre-internet days!
When I got a bit older obviously just having a name wasn't satisfying enough, and whilst I knew my Grandfathers brothers and Sisters I didn't know the wider family - cousins etc
I also didn't know that much about them, where did they live? (I knew the town but not address), What job did they have?
So the library was a very interesting place - Polling Records gave me previous addresses, trade directories gave me the professions, and the occasional snippet from a local newspaper (the court cases can be a distraction but interesting and often very amusing)
It felt like putting the flesh on the bones, They were no longer just a name they became family
Research was harder back then (seriously) nothing was instant, after my first attempt of just walking in unprepared I always set off with a game plan , handwritten notes of the ancestor i was hoping to get more information about, the year I had information about, any additional information brothers, Sisters. I don't remember ever coming away disappointed (though some were very illusive) and some of the distractions kept me entertained and the time seemed to evaporate!
More than I few times I was in there from opening time to closing time - with no breaks or food / drink I ran on adrenaline.
This Answer isn't really about One Ancestor or even one distant Relation BUT the enjoyment I find whilst researching and finding NEW branches etc,