I used to play when I was younger under the username lightnings power however this was sadly deleted due to a bout of inactivity.
With my Gaia lines if they have the name Gaia followed by numbers, the first number is their generation, so 2 means 2nd generation.
The middle number is that, if there's siblings/ multiple horses in that generation, to show the eldest to youngest. 1= the oldest 2= the next born and so forth.
The last name is does not change from mother to offspring only between siblings/cousins. This last digit is simply there for me to keep track of whose offspring is whose at a quick glance.