▁D á il ▁rather ▁than ▁the ▁Parliament ▁of ▁Southern ▁Ireland ▁they ▁had ▁been ▁elected ▁to . ▁The ▁Second ▁D á il ▁agreed ▁to ▁the ▁elections ▁leading ▁to ▁the ▁Third ▁D á il . ▁ ▁However , ▁according ▁to ▁British ▁political ▁theory , ▁the ▁assembly ▁of ▁Irish ▁MP s ▁in ▁Dublin ▁did ▁not ▁const itute ▁a ▁valid ▁parliament , ▁and ▁was ▁subsequently ▁declared ▁illegal . ▁In ▁this ▁view , ▁legal ▁government ▁remained ▁v ested ▁in ▁His ▁Majesty ' s ▁Government ▁in ▁West min ster , ▁and ▁its ▁Irish ▁executive , ▁under ▁the ▁Lord ▁Lieutenant ▁of ▁Ireland ▁based ▁in ▁Dublin ▁Castle . ▁The ▁Government ▁of ▁Ireland ▁Act ▁ 1 9 2 0 ▁created ▁two ▁Irish ▁parliament s ▁with ▁effect ▁from ▁May ▁ 1 9 2 1 : ▁one ▁for ▁Northern ▁Ireland ▁in ▁B elf ast ▁and ▁one ▁for ▁Southern ▁Ireland , ▁which ▁was ▁called ▁to ▁assemble ▁in ▁Royal ▁College ▁of ▁Science ▁in ▁Dublin . ▁The ▁un cont ested ▁elections ▁in ▁Southern ▁Ireland ▁produced ▁the ▁House ▁of ▁Commons ▁of ▁Southern ▁Ireland , ▁though ▁when ▁the ▁new ▁house ▁was ▁called ▁to ▁assemble , ▁only ▁four ▁MP s ▁turned ▁up . ▁The ▁remaining ▁members ▁assemble d ▁as ▁T D s ▁of ▁the ▁Second ▁D á il . ▁Following ▁the ▁Ang lo - I r ish ▁Tre aty , ▁the ▁West min ster ▁parliament ▁passed ▁the ▁Irish ▁Free ▁State ▁( A gre ement ) ▁Act ▁ 1 9 2 2 ▁which ▁provided ▁for ▁dissol ution ▁of ▁the ▁Parliament ▁of ▁Southern ▁Ireland ▁and ▁the ▁election ▁of ▁a ▁replacement ▁parliament ▁to