An apparatus, and an associated method, for facilitating home, or other public network access by a wireless device. The access is made in order to access public-network services by the wireless device when connecting to the public network by way of another network. Access availability by way of 802.1x-capable wireless local area networks, if any, is determined A listing is made of networks through which connections are able to be made. And, if operator policy permits, a public-network access attempter attempts to make communication connections by way of non-802.1x-capable wireless local area networks, if any. Identification is made of network access availability, and such identified network access is displayed to provide a user of the wireless device with an opportunity to select in what manner to connect to the public network.