Is this translation correct?

Элизабет would be pronounced "Eleezabyet" and Eлызабет would be pronounced "Yelizabyet", but neither is correct. I can't show you the way Russians write their version of your name, because I can't figure out how you got the Cyrillic letters, but they pronouce their version of 'Elizabeth' "Yeleezavyeta" (as you can see, a 'v' sound rather than a 'b').

PM me if you can show me how to Cyrillic up my writing.

Thanks, I know it's pronounced differently. I can't help with the Cyrillic letters, my computer came with them....

Well, if you posted a set, I could cut & paste them to show you - in fact, you've already provided me with all but one that I'd need - it's a lower case letter, but looks like our upper case B.