Normally, I'd say there's nothing wrong with that and also absolutely no need to mention it, but in this case she's specifically misleading people who visit the site.
Scroll down to the bottom (or view the about-us page - http://www.specialname.cn/about-us/) and compare the picture there to picture in the bbc article. One of those pictures is not like the other.
The blurb is then even more misleading - saying she's been visiting China regularly for the last 12 years and is often asked by colleagues to give English names for Chinese babies.
Now, given her father's business, I'm sure it's quite likely that she's been visiting China for 12 years, but I'm pretty sure she didn't have many colleagues when she was 4 years old.
Mad props to her for setting up a site like this, and I can see the reasons for wanting to bend the truth with her background, but it just rankles a little to see this being done.