It appears the problem has been solved, but I'm posting to add because no one seem to have mentioned the key word that the full name for chemical energy is chemical potential energy.
You should understand the difference between 'potential' energy and 'real' energy.
'Real' energy is a physically measurable quantity, such as kinetic energy (velocity is measurable) or thermal energy (heat).
Potential energy on the other hand, isn't 'real'. There is no direct way of measuring potential energy as it is not necessarily a physical quantity. In a sense, it is the amount of energy that can be released if the body is allowed to return to its original state. Remember back to gravitational potential, which is a measurement of how much kinetic energy could be generated if the object is allowed to free fall. Chemical potential energy is a measurement of how much energy (usually thermal or sometimes electrical) can be released if the 'unstable' chemical is allowed form its 'stable' counterparts.
Electrical energy is also a type of potential energy.
The transfer of energy from one type to another is called 'work'. In this sense, electricity possessing electric potential energy can perform electrical work on chemicals, thus increasing the chemical potential energy of these chemicals (by forming less stable chemical bonds which are capable of releasing more energy). This is the case in electrolysis, where a battery that stores the electric potential energy transfers its potential to the chemical. If the new chemicals were allowed to react, this work would then be released as thermal energy, a 'real' energy.
In a galvanic cell, the reactants already have some chemical potential energy, and they are setup such that they are allowed to react by exchanging electrons. This means a lot of the potential energy would be carried by the electrons, and thus the electrons would have some electric potential energy. If these electrons were to reach the other cell and complete the reaction, this energy would be dissipated as heat. However, if we interrupt the chain by including some element that consumes electric potential energy (such as a light globe), this energy would instead be converted to light (electromagnetic energy, 'real').
The reason we like electric potential energy is because we can create electric circuits that transduces electric energy (potential) into many different types of useful outputs (Real output) at high efficiency. The purpose of power plants is really to convert chemical energy (Vast amounts stored in large amounts of coal) to electrical energy, which we then convert to TVs, washing machine, electric oven, computers, etc.