What they said! I got so americanized since I went to school in the states that when I came back to the UK for uni I could not pronounce words like this for the life of me and got laughed at all the time! I learned quickly, haha. Don't worry, if you are a bonafide American you'll be ok, I just wasn't because I have a sort of British accent so Brits thought I was really funny.
"Choose to chance the rapids, and dare to dance the tides" - Garth Brooks
"With your permission, dear, I'll take my fences one at a time" - Maggie Smith, Downton Abbey
Yeah, that's why I never understand why Americans pronounce it the way they do - just weird.
And I know someone who's surname is Cholmondeley-Smith.
What about Chiswick? Had an arguement with my older sister when I was about 9 that it should be said "Chisick" - must have heard someone saying it - an Aunt lived there. I was very pleased when my British mother confirmed I was correct. It's not often you get to better your older sister!!