If they married legally with the approval from the government YES she can born the baby here and the baby will have Qatari passport but without approval from the gov. OMG! she is in trouble and her partner.
there are 3 types of marriage here.
1. legal marriage if the local husband get the approval from the Gov. then you can raise and born a child here.
2. Zawaj misyar this is also legal but you cant raise and born the child here.
3. Zawaj muta'ah this marriage different just to be legal in the eyes of people.
i hope it can help your friend.