In a very general sense it can be applied to all verbs. The て form of a verb can be followed by another clause to mean "and" and since a Japanese sentence can consist of as little as a single verb, this can apply to all verbs. Example: 本を読んで、スーパーに行った。(comma optional)
Those first two examples you gave mean "to bring" and "to take" (things, not people) respectively. While technically two verbs, they tend to function (and are perhaps considered) as one in these forms (they're just one word to me). You could think of them as "to hold and come" and "to hold and go" if you really want to...though I think "bring" and "take" are much more accurate to the true semantic meaning of the compounds. I could be wrong, but I think the third example is "to return (with?)" (a person)...I've only actually seen 連れてくる "to bring" (a person).
て + いく / くる are also grammatical structures and as much as I hate myself for saying this...I don't quite remember what they do...I do seem to remember finding the difference between them to be a little confusing though.