(I have very low experience with local networks. I need to connect the shared printer...)
The Brother MFC-L2720DW printer allows 3 ways to print: through USB cable, through wired LAN (patch cable, 8P8C connector a.k.a. RJ-45), or through its built-in Wi-Fi. I understand from the Brother documentation, than the printer cannot use both wired and wireless connection at the same time. Only one mode can be selected in the printer settings. (No problem to understand that.)
Then I have a notebook that is moved around the rooms, sometimes. Mostly, it is connected to the small TP-LINK TL-SG108 switch that makes the tiny local network (via patch cable). Sometimes, the notebooi goes wireless through D-Link DAP-2020 that is connected to the same switch. The switch is also connected to the common fixed-phone line modem. So far, all the things work smoothly.
Next idea was to connect the MFC-L2720DW to the switch (patch cable) to be used as a shared printer. However, I am having difficulties with printing. When the printer is set to use Wi-Fi connection to the Wi-Fi point, I can print from the notebook only when being wireless. Once I connect the notebook through patch cable, I cannot print. I even am not able to switch the printer to LAN mode and make it accessible for printing through wires only.
My idea was to set the printer to LAN mode -- connected to the switch via patch cable. I have expected to be able to print from notebook-wireless >> Wi-Fi (D-Link) >> switch (TP-LINK) >> printer (LAN; patch cable). Alternatively: notebook (patch) >> switch (TP-LINK) >> printer (LAN; patch cable).
Can you suggest some reliable way to make the connection, and possibly install the drivers correctly? The Windows is of version 8.1, the printer drivers are installed from within the printer.
Update: I have never set any fixed IP, nor subnets and all the things mentioned by Massimo's comment below. The described components are almost all that is there. There are two more TVs through internet; however, they are connected to the dedicated socket in the modem. One of the sockets of the modem is used to connect the switch (TP-Link). The modem gets its IP dynamically from the provider.
There is one more notebook that is always wireless, and 2 or three smartphones connected occasionally.