Hi-- there are a couple of pointers here-- on the ordinarily resident point, if you are married to a UK citizen, this does not apply as you are given all of the same rights as your spouse under EU law. Now, a lot of unis/training programmes don't know about or don't want to respond to this law, so it can take some persuasion. I'll try to post the link tonight...
Also, a word of warning. There can be problems getting into the programmes as an overseas student. Many of the programmes just require GCSE's. Obviously, as Americans we have High School diplomas. When I applied to do midwifery last year, I was told I did not have the qualifications, even though I worked for the NHS and had a Bachelor's Degree (with excellent grades) in Public Health. I was told I had to do an access course. I had to really fight to get NMAS to release my application to the universities. It is not always so difficult, but it is best to speak with the places you want to study to give them a head's up that you are applying and submit your application directly to them, if possible.