Is your MicroLogix 1200 the model with the two serial ports, or just the one serial port ?
Do you know what protocol the HMI is using ?
Do you need to initiate messages from the MicroLogix 1200 to the PLC-5, or the other way around, or both ?
There is no plug-in module or factory-made adapter that is really suited for connected MicroLogix controllers to DH+. These are technologies separated by many years and applications.
But if you really need it, it can probably be done.
There are third-party makers of DH+ to DF1 conversion boxes that emulate the old 1770-KF2. There's some unpleasant patent litigation and personal history there, but the products do work. I recommend the original, the DL-3500 from EquusTek in Canada.
The next step is getting a DF1 full duplex port from that MicroLogix. Check out the model to see if it's a regular 1200 or a dual-port 1200R, and figure out the HMI's protocol and which direction the messages need to go. There might even need to be a port splitter involved.