I need to amend my return to show my husband and MYSELF as self employed, owning/working for our Construction Co. How do I show business ownership as both, not just him?

Sorry you have to manually fill out 2 schedule Cs, one for each of you.  Or you should be filing a partnership return and entering a Schedule K-1 for each of you into your personal return.   It might depend if you are in a Community Property State.  Someone else will know more about that.  Or you should go to a local accountant to do it properly.   

If you are doing a 2019 return then you must be using the Desktop program and not online?  I opened my 2019 Home & Business program and for schedule C I picked Both of Us and got this screen.  Did you click on owned by Both of Us?

Here’s some prior posts I found,
https://ttlc.intuit.com/community/taxes/discussion/husband-wife-llc-part-of-married-joint-filing/01/2035151

https://ttlc.intuit.com/community/business-taxes/discussion/how-do-i-change-a-sole-proprietor-business-to-a-qualified-joint-venture/00/124637

To file a Partnership return, you need TT Business. It is only available as a desktop version, and then only for Windows. And you can have both TT Business and TT Home & Business (or any personal version) installed on your computer at the same time.
https://turbotax.intuit.com/small-business-taxes

IRS info Qualified Joint Venture for married couples
https://www.irs.gov/businesses/small-businesses-self-employed/election-for-married-couples-unincorporated-businesses

if your company is a C Corporation. it files it's own return. income would be reported by it. in general, you would only need to report on your own return any salaries and dividends received.

if it's an S Corp, then it must file a return (1120S) showing each of you as owners and issuing k-1's to each which gets reported on your 1040 along with any slaries paid

if neither, you have a partnership.  if it is not an LLC, each of your reports their share on a schedule C

if it is an LLC in a community property state, no partnership return is required. everything gets split 50/50. each files their own schedule C 

if it is an LLC in a non-community property state a partnership return is required (1065). it issues a k-1 to each of you.

Thank you so much for your quick response. You have been most helpful. 

Thank you so much for your help.