Bascially, you need to show all her ties to the US that she is maintaining, to prove she will return to the US and not try to stay in the UK illegally.
So, you show:
- evidence of HER job in the US that she must return to... so you provide a letter from HER employer stating that she has been given time off for her visit to the UK, and stating what date she will be returning to work, and possibly also her job contract and payslips
- evidence of HER home in the US, that she will continue to maintain and pay for while in the UK... so you provide HER current lease or mortgage statement
- evidence of HER money to show that she has enough to support herself while in the UK... alternatively, if she doesn't have much, you can provide YOUR payslips and bank statements to show you can support her while she is in the UK
- evidence of any other ties she has in the US, that she MUST return for, such as immediate family members, appointments, interviews, weddings, events she has scheduled for when she returns. Even things like pets or a car owns if she doesn't have much else to show
- evidence that you have invited her to stay with you and that you can accommodate her and support her if needed, so you provide a letter from you detailing all of this, along with a copy of your passport and evidence of payslips/bank statements if you will be supporting her financially.