You paid for July, your contract is for July, she's stuck with you for the rest of the month.
Then you find another place to park.
Next time you rent somebody's space, get a written contract that specifies a termination notice period.
Otherwise, no, she's not required to give you any notice at all because your arrangement is presumed to be over without notice at the end of the current payment period.
This is not like renting living quarters, there is no statutory requirements here.
You rent for the month, you leave at the end of the month unless she accepts payment for the following month.

