The lightning storm may have shorted out your phone. Lightning can cause strong transient voltages on phone lines, and these may cause electronic components in modern phones to fail. Often, electronic components fail short-circuit. The bottom line is, when you plug in a phone with this type of damage, the line effectively goes dead.
Ironically, it is not unlikely that the failed component is the transient protector. These are components that protect the phone's electronics from excessive voltages. When the voltage on the phone line rises above a certain threshold, this component behaves as a short circuit and dissipates the transient thereby protecting the phone's circuitry. Once the transient is gone, the component should then return to its passive state just sitting there waiting until another transient comes along. But sometimes the transient is strong enough to destroy the transient protector, which will then remain in its short-circuited state having valiantly sacrificed itself in order to do its job. If the phone does indeed have a transient protector (not all phones do) chances are that this is what happened, and it's an easy repair. Just removing the failed transient protector will get your phone working again, but replacing it is better - if you leave it out the next lightning strike might destroy your phone.