This video may help you understand the divorce process in Maine. It applies specifically to divorces where the parties have mutual children. Most of this information also applies where unmarried couples need a court order determining their "parental rights and responsibilities." That process is much like getting a divorce, except that the parties are not married.
DHHS explains how their appeal hearings work. You can ask for a hearing if you disagree with a DHHS decision about child support, food stamps, TANF, ASPIRE, MaineCare, or other benefits.
If you are doing your own divorce or parental rights court case, find out the rules for calculating the amount of weekly child support the non-custodial parent will owe.