I see that the latest security patches are not yet available from
apt-get install openssl on Ubuntu 14.04. What steps do I need to take in order to install the latest OpenSSL without conflicting with my previous installation through
You can check this page https://launchpad.net/ubuntu/trusty/+source/openssl It will show you the exact security updates that have been backported, even though the overall version date appears old. If you have installed the latest openssl via apt-get upgrade, you are current (on security updates) as of 2015-03-19, which happens to be 2 days after the security flaw was posted on your link above. You can drill down into the openssl page on ubuntu to see if this fix was included.