Like other such proposals, it would let businesses or individuals get away with turning away LGBT people by citing religious objections.
The last state to ban adoption by same-sex couples has so far refused to declare the state law unconstitutional.
State Supreme Court judges in Mississippi are still not sure about marriage equality, but they finally allowed a lesbian couple to divorce.
But Mississippi fails to elect an LGBT candidate to statewide office, and a supporter of Kim Davis wins the governor's race in Kentucky.
New filings by their lawyers contend these roadblocks are not even 'potholes,' and further tear apart the discredited Regnerus study on same-sex parents.
He argues that the Supreme Court decision on same-sex marriage does not extend to adoption rights.
Mississippi is the last state with such a ban.