I would vote for Dutch (the language of the Netherlands) . It's fairly close to English, as Dutch is in some respects part-way between German and English.
And Richard S is right about the Frisian dialects of Northern Europe. Around a hundred years ago, I've been told, fishermen from the far east coast of England and fishermen from Northern Germany could actually understand each others' dialects. However, most dialects have now disappeared, and today there is no language which is mutually intelligible with English. Or in other words, there's no other language whose speakers can understand English if they haven't learnt it.
And to answer your question, Natalia, no, French isn't related to English. The structure of English has more in common with the ancestor language of German and Dutch. We do have thousands of words in common with French, though, and thousands more which are similar. But these are all 'adopted' words which came into the language after 1066, or at a later stage through Latin.