So, I have already purchased the Home and Business edition, but I am being told I need the Business edition to get the 1065 form. So, I need both editions.

You need the TurboTax personal edition (Home & Business) to complete your personal tax return and to enter the Schedule K-1 from the partnership.  

So you need both, one for the partnership return and the other for your personal return.

You can buy the stand alone do it yourself Business CD/Download program for Windows here (it is not available to do online or for Mac). There are 2 ways to buy it. If you want a CD you need to pick the Advantage Plan in the left box.
https://turbotax.intuit.com/small-business-taxes/cd-download

There is also a Business service, LIVE Assisted or LIVE Full Service Business which is separate from the Desktop installed Business program. It is not for 1041 Trust/Estate returns. You can see them here,
https://turbotax.intuit.com/small-business-taxes