Possibly, but I'm not sure you could arrange to get married in the UK in that time frame. She would first have to apply for a Certificate of Approval which basically allows her to marry in the UK. I think the cost is £295 and I'm not sure what the turnaround time for it is; at the minimum it would be a few weeks. Then serve notice to marry at the Registry office and set a date. You can marry in the CoE without the Certificate of Approval, but I seem to remember that some churches are also requiring that the non-UK partner have the Certificate.
If it seems that time wise it may be cutting it close you could always accompany her to the US and marry there.
On to visa stuff. She will have to make her application at one of the 3 visa-issuing consualtes (LA, Chicago or NY). Which one depends on what state she lives in. The cost is $1050 and it is valid for 2 years. She will be able to work straight away. Have a look at the form and guidance notes.
http://www.ukvisas.gov.uk/servlet/Front ... 8721067257
If she makes an in-person appointment at the consulate, she should get the visa that day (providing it's a straightforward application.) Postal applications are usually handled in a week or two, but it depends on the volume of applications they have and so on.