You will need a plug adaptor for Anguilla for outlet type A. Anguillan voltage is 110V. US travelers can use all their devices as the voltage is virtually the same (the US being 120V). As well, the outlets for the US match the configuration of the Anguilla plugs.
For UK travelers, it is a different experience. As Anguilla’s voltage is significantly lower than the UK's 230V, getting a Step-Down Voltage Convertor is advisable.
Although many phone chargers automatically convert voltage, check each cable to ensure you will not damage your device.