Your browser will save internet history, tracks no matter where it connects, assuming you're using the same computer in both places and your account access is available to the other person. The account access could be through actual physical access by another person or through spying tactics of various types. That is also assuming you're not removing those tracks using various methods.
Hope this helps.
Hi, I am wonder as to how much access people have to internet history when connecting to work/public/other people's wifi. I do not mean what has actually searched via that specific wifi network, but rather whether they can see history searched from the same device at another location and time. So for example is what I searched at home available for them to see when I connect to say, a free wifi cafe network?