Generally, if you are married, either party may qualify for spousal support (alimony) upon filing for a Dissolution. It is based upon the incomes of both parties, as well as the standard of living during the marriage. Since you are unemployed and have not worked during the marriage, you would probably receive child AND spousal support. Since you have only been married 3 years, you have what is referred to as a short term marriage (less than 10 years) and if you obtained spousal support, it would generally be for 1/2 the length of the marriage. You would need to file for a Dissolution (divorce) or Legal Separation and then set a Order to Show Cause hearing to obtain a temporary support order.
This response is general in nature and should not be considered legal advice.