I believe it should be Ok to use same Title tags for a 301 redirect.
According to a contributor on Google WM Central,
"Technically, Google should "see" the redirected page - it's meant to get the 301 instruction, along with a destination .... then toddle of and crawl the destination - completely ignoring the origin page."
Duplicate Tags in two files, one of which is 301 redirected.
Also, Google WM Central: Duplicate content, or 301 redirects does not mention tags.
If there are any duplicate Title tag issues, then it would be possible to check in GWMT > Content Analysis
You can also specify prefered page using canonicalization, but should not be required for a 301.
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