Yes, it would be nice to have my name on it so I can nickname it, but I'm against that practice since you did all the work for it. People would get the impression that I bred it unless they CMT. If you don't have a problem with it, then that's fine with me. Let me know how you feel about that first. If you RNG in HGSS then you could always verify what seed you're on so this is not a problem:
1. You save before receiving the shiny egg. Receive it and hatch it to check for shinyness. If it's shiny, turn the power off and continue the RNG process.
2. RNG for IVs. Once you hit your seed, delay, etc., collect the egg and save. Hatch the egg and if it has the correct IVs, then turn off the power. Now you can send it to me, but make sure the fast hatch code is off and you don't have a pokemon with flame body or magma armor in your party.