They went to jogging this morning.
They went jogging this morning.
Should I remove "to" in this sentence,If yes than why.
I think I understand where your confusion stems from, but please correct me if I am wrong!
You are confusing verbs that take the gerund or the infinitive. Some verbs usually take the gerund for example; enjoy, hate, finish, mind, practise, spend, suggest, stop and phrasal verbs, e.g. give up, go on, take up etc.
- He enjoyed swimming a lot.
- They hate writing stories for homework.
- May I suggest visiting the local museum?
- She can't give up smoking.
Then there are verbs which normally take the infinitive. These include; agree, decide, help, learn, promise, want, would like etc.
- He decided to swim in the lake.
- They didn't want to write a story for homework.
- Would you like to visit the local museum?
- She promised to look after herself more.
However, there are verbs which take both the gerund and the infinite for example: remember, start, try, forget etc.
The verb: GO often takes the gerund especially when we talk about hobbies and sports.
- I go fishing every Sunday.
- He goes jogging in the park.
- We went skiing in France.
But go is also used in conjunction with to, the preposition, when we are talking about getting or arriving at places, and to, the particle, when we make verbs in the infinitive i.e. to + verb (see brackets) to indicate purpose.
- I go to the lake (to fish) = A:"Why do you go to the lake?" B:"To fish."
- He goes to the park (to jog). = A: "Why does he go to the park?" B: "To jog." etc.
- We went to France (to ski).
- She didn't want to go to bed (to sleep).
So, you can say: "They went jogging" because, jogging is a sport activity which we use with the verb, go. But it is also possible to say: They went to the park to jog or even They went to jog (in the park). You can also leave out "in the park" and still have a grammatical sentence.
P.S I tried looking high and low for references with examples of uses for go + infinitive, and go + gerund and failed miserably!