Evelyn, I enjoy looking up the pedigrees of my iris, too.
I have parents, children, grandchildren, siblings, and cousins in my collection. It's fun to trace a few generations; sometimes I am tempted to draw a family tree, but that might be going a little far.
On my computer, I keep a record of the parentage of each iris, hybrizer, awards won, date of first bloom and date of last bloom, number of stalks blooming, and number of increases each season. I'll also make a note if the substance is especially good. To date, I haven't counted buds or described branching - I might start doing that next spring.