My neighbor and I have the solution due to several recently lost cats in the neighborhood. If you have a screen porch, put a bowl of food by the door for a couple of days and the stray will come to your place to dine. After you're sure this is working move the bowl inside the screen porch to where you can see when your visitor is at dinner and close the door from the outside. This may take 2 people, then you can enter the porch from the house and take the ferel cat to a shelter. If you check there are a number of no kill shelters available or you can take it to the vet for spay/neuter and relocate it after the surgery.