It's possible that she did own a horse with that name, but it hasn't been widely reported.
To find out more, you could try:
* Searching for information on her social media accounts: She may have posted about a horse named Lexington.
* Contacting her representatives: If you're a journalist or have a legitimate reason, you might be able to get in touch with her team.
* Looking for information in equestrian publications: Some magazines may have featured her and her horses.
However, it's important to remember that personal information about celebrities is not always publicly available.