We've written about domain ownership before and unfortunately still come up against issues where companies think they own their domains yet the registered details do not reflect this. Mostly this is just a registration problem but it can cause issues when you move your domain to another provider or the registered address/email contact info goes out of date. To check whether your domain is registered to you and has the correct details, you can use a service such as Who Is to check, just enter your domain or web address to see what the registered details are.
It is possible however, to hide/protect those details and in this case, you would have to check with the person who manages your domain for you.
If you have a question about your domain or would like some help, give us a call on 0800 988 5521 and we'll see if we can help.