"voltage" is just a general term for electric potential. Potential can only be described relative to some reference point {typically Earth or ground, or perhaps the negative terminal of a battery or power supply.}
In modern, practical, everyday usage the terms:
"voltage across [a resistor]"
"voltage between [points A and B]"
"potential difference"
are all commonly used, especially by engineers, to describe the same thing.
If I say "the potential difference between the ends of this resistor is 1 volt" I could well be saying:
"The potential at end A is 5V with respect to some zero reference point and the potential at end B is 4V with respect to the same zero reference point."
But it could just as easily be 1000V at A and 999V at B. Who knows? But if we know the value of the resistor and we know the p.d. across it, we can calculate the current flowing through it and the power dissipated in it {as heat} as a result of that current.
Physics purists have historically tended to use "potential difference" to describe that part of a circuit where electrical energy is converted into some other form (heat in resistors and so on)
The "voltage" where some other form of energy is converted into electrical form is usually described as "electromotive force (emf) {from batteries, generators and so on}.
In everyday usage, "A 9V battery" or "A 12V light bulb" would be clearly understood.