Most single parents find it difficult to meet their financial needs, and young unwed mothers usually have a particularly hard time.
In some lands where Government assistance is available, they may be wise to make use of it, at least until they can find employment. The Bible said something of such which permits single parent to make use of such opportunity.... Roman13:1-6.
Do not be surprised if your children are unhappy when you seek employment, and do not feel guilty. Rather explain to them why you must work, and help them to understand that it is your responsibility to provide for them. However try to spend time with them a long as your schedule permits you.