walk/walking

  1. I went for walking in the morning.
  2. I went for a walk in the morning.
  3. I want to go for walking. Do you come?
  4. I want to go for a walk. Do you come?
  1. Incorrect.
  2. OK.
  3. Both sentences incorrect.
  4. “I want to go for a walk. Do you want to come? / Will you come?”
  1. “I want to go for a walk. Do you want to come? / Will you come?”

I want to go for a walk. Are you coming? Could this tense be used in such a case? Thanks

Yes, that is a good possibility that I overlooked.