It is advisable not to add dog or cat feces to the compost pile.  Dog and cat feces may contain harmful pathogens that may not be destroyed during the composting process. 

Wood ashes contain small amounts of several plant nutrients. The nutrient content of wood ashes depends on the type of wood burned, the thoroughness of its burning, and other factors.

It would be best to place weeds that are producing seeds and diseased plant debris in biodegradable bags and have the material picked up and composed by a municipal or commercial composting facility.  The temperatures in home compost piles se

Temperatures of 150 to 180 degrees Fahrenheit are required to kill most plant disease pathogens. Unfortunately, the internal temperatures of most home compost piles don’t reach this level and the disease organisms are not destroyed.