The phrase "a response including" is correct and usable in written English.
You can use it when referring to a reply that contains specific information or elements.
Example: "Please provide a response including your thoughts on the proposed changes."
Alternatives: "a reply containing" or "an answer that includes".
Two days later, presidents Clinton and Chirac and the British prime minister, John Major, spoke by telephone to discuss a response, including halting air strikes.
Going into the final weekend of the Games, the authorities had only garden-variety problems requiring a response, including street protesters getting a little too rambunctious, a man trying to scale the fence of the athletes' quarters, dozens of bomb scares and at least one anthrax scare.
In his letters, the president hinted that after more than a year of public and private complaints that allies have not done enough to share the burden of collective defense, he may be considering a response, including adjusting the United States' military presence around the world.
The US and its allies are considering a response including possible military strikes on Syria, although Russia - Syria's ally - has warned against this.
Seven hours later we're still waiting for a response, including to a follow up email asking if it will accept the majority decision among MEPs for the hearing to be live-streamed.
If you send an email like this and get a response including a price, you have encountered a "Planner".
In a response included with the report, the I.R.S. agreed that it could do more to stop fraudulent refunds.
In a response included with the report the Taliban called the allegations imaginary and said they were propaganda.
The WWF, in a response included in the report, said enforcing protected areas is problematic across the Congo basin and made more difficult because of nearby armed conflict.
Components of a response include the ability to efficiently mass vaccinate or provide prophylaxis to susceptible health care workers (HCW's).
The I.R.S., in a response included in the report, said it was studying the feasibility of regulating preparers by assigning them identification numbers for use in tracking the quality of their returns.
