Having worked as a secondary school teacher, I've seen first hand just how incredibly cruel kids can be. Some of the mickey taking is dire and these days, don't forget, the school are really restricted in implementing punishment especially as teachers don't get paid for detention time. And as many people seem to be under the illusion that school finishes for us at 3pm (according to the school) we don't. Marking 30 exercise books properly(which many teachers don't have time for at the weekend) it used to take me five hours. Think about it- ten minutes per book=6. 30 exercise books=5 hours. Then I'd spend large quantities of time doing lesson prep to ensure my lessons were upbeat, interesting and funny. If you have an engaged class, trust me, one kid steps out of line and the other 29+ tell them to shut up. Peer pressure!. I did notice though that some poor kids were really landed with odd names or initials made into something rude. The kids whose initials were VD and STD. The kid whose name began with Gay or Jo King, Whore(yes,seriously that was a surname), Aiden, etc. And that's just a mere few as I have to be discreet.
All I can say is personally, if my child was that unhappy then yes, I'd allow them to change their name in a heartbeat. After all, it's them that's got to listen to the name calling every day, five days a week for 32 weeks, for seven years at least. Life's hard enough at their age with raging hormones, peer pressure, school pressure, mountains of homework (should be around 3-4 per night!), looming exams and pressure to do well. I would not want to be that age again, personally. To have to lug around rucksacks of several exercise books, several heavy text books, stationery, games kit, possibly cooking ingredients/food, lunch/snacks, personal items, etc, plus walking considerable distances at school and maybe to/from school, then have to do another 3-4 hours homework per night is a tall order even for an adult.
To expect them to cope with name calling for seven years at secondary school level is too much to ask, IMHO. I've seen it have quite a detrimental effect upon several pupils, which could be so easily remedied.