How can I add a website or url to my contacts???

[cdf3]

If I add a website to my contacts online, it will show up on my phone in a field called "Website".
If I try to add a website to a contact form my phone, there is no "Website" field.
After clicking "Add", I do not see it as an option.
Is anyone else able to add the "Website" field under their contacts?
I wasn't sure if it's like this on everyone's phone or just mine.

 

[PvilleComp]

I don't have Website on the phone either - I use the Notes section for information like that.