It is really fun to look back and see your horse's ancestors.
The love of my baby sister's life was a little 1/2 Arab mare, Neysara ("Jessa"). I think my sister was twelve when she got her. She spent days researching the Arabian side of Jessa's pedigree, and wrote it out in microscopic script, made a little velvet bag, and hung it around the mare's neck, Bedouin style.
When the Jessa was 34 and on her last legs, I bought a hand-made sterling silver necklace with a white stone in it which was the same size and shape as the mare's tiny star. My sister hung that around the mares neck for the final 2 weeks of Jessa's life, just as she had done with her pedigree twenty years before. So even though we never actually did anything with her pedigree (other than bred her once to the Arabian stallion, Trinask), it was really fun to have that knowledge: it added a lot to the fun of owning her.