Can a Widow Go Out during ‘Iddah?
Question

My father was killed in Baghdad and we were forced to leave our home, we went to Turkey. My mother was obliged by the ‘iddah for one month and half, then she cut it due to the residency issues, and she is continuing it now. Shall she start over or continue after the one month and half she already spent knowing that my father died four months ago?
Praise be to Allah.We ask Allah to reward you for your calamity and to compensate you with something better, and to suffice the believers against the evil of the aggressors and hypocrites. 
’Iddah after death of husband
The ‘iddah of a woman whose husband has died is four months and ten days, because Allah says (interpretation of the meaning): 
“And those of you who die and leave wives behind them, they (the wives) shall wait (as regards their marriage) for four months and ten days.” [al-Baqarah 2:234]
When does the ‘iddah period for a widow begin and end?
This period begins when the husband dies, and ends when the time is over, whether the wife adheres to the rulings on mourning or not, and whether she knows of her husband’s death or not. When four months and ten days have passed from the time of his death, then her ‘iddah ends. 
Ibn Qudamah (may Allah have mercy on him) said (8/93): 
“The scholars unanimously agree that the ‘iddah of a free Muslim woman who is not pregnant is four months and ten days from the death of her husband, whether the marriage had been consummated or not, and whether she was an adult who had reached puberty or very young and had not yet reached puberty. That is because Allah says (interpretation of the meaning): “And those of you who die and leave wives behind them, they (the wives) shall wait (as regards their marriage) for four months and ten days.” 
The Prophet (peace and blessings of Allah be upon him) said: “it is not permissible for a woman who believes in Allah and the Last Day to mourn for anyone who dies for more than three days , except for a husband, four months and ten days.” Agreed upon.” 
It says in Fatawa al-Lajnah al-Daimah (20/421): 
“The woman whose husband dies must observe ‘iddah for four months and ten days if she is not pregnant. Allah says (interpretation of the meaning): “And those of you who die and leave wives behind them, they (the wives) shall wait (as regards their marriage) for four months and ten days”. That starts from the date of death. If a woman deliberately does not observe mourning then she is sinning, and she has to repent and seek forgiveness.”. 
It also says (20/481): 
“The ‘iddah for one whose husband dies is four months and ten days immediately following the death, and until giving birth if she is pregnant. So long as your mother did not observe mourning during the appointed time due to ignorance or for some other reason, then she does not have to offer expiation, but she has to repent and seek forgiveness, and recite a lot of dhikr.”
Can a widow leave the house during ‘iddah?
A woman who is observing ‘iddah following her husband’s death may go out of the house during the day to meet her needs, such as dealing with government procedures if there is no one who can do that for her. But at night she should not go out except in cases of necessity. 
Ibn Qudamah (may Allah have mercy on him) said in al-Mughni (8/130): The woman who is observing 'iddah may go out and do errands during the day , whether she is divorced or widowed, because of the report narrated by Jabir who said: My maternal aunt was thrice divorced and she went out to harvest her palm trees. A man met her and told her not to do that. She mentioned that to the Prophet (peace and blessings of Allah be upon him) and he said: “Go out and harvest your palm trees; perhaps you will give some of it in charity or do some good.” Narrated by al-Nasai and Abu Dawud.  
Mujahid narrated: 
“Some men were martyred on the day of Uhud and their wives came to the Messenger of Allah (peace and blessings of Allah be upon him) and said: O Messenger of Allah, we feel scared at night; can we stay in the house of one of our number, then in the morning we will go to our own houses? The Messenger of Allah (peace and blessings of Allah be upon him) said: “Chat together in the house of one of your number, then when you want to sleep, each one should go to her own house.” She does not have the right to stay overnight anywhere but in her own house, or to go out at night, except in cases of necessity, because night is a time of suspicion, unlike the day, which is the time when people go about their errands and earn a living, and buy what they need.”  
It says in Fatawa al-Lajnah al-Daimah (20/440): 
“The basic principle is that a woman should mourn in the house of her husband where he died , and she should not go out except in cases of need or necessity, such as going to the hospital if she falls sick or buying what she needs from the marketplace such as bread and the like, if she does not have anyone who can do that.”
To sum up, there is nothing wrong with your mother going out to deal with government business, in sha Allah, and she is not regarded as breaking her ‘iddah, because she is going out for a need or for something essential. If your father died four months ago then there are ten days left of the ‘iddah. 
For more about ‘iddah-related issues, please see this category: Waiting Period of Widow or Divorcee. 
And Allah knows best.