The backup battery (it is more than a mere PRAM-maintaining battery) that I mentioned above is on the interconnect board, as register also noted. It is a secondary battery (ie, rechargeable), but it may very well be depleted. Take heart, however, for my first 160's BU battery had been uncharged for upwards of a dozen years, but still recovered when the main battery reached roughly 6.8V, so you too can do it. The BU batteries are rugged. They have to be, because their main job is to shut down the PB gracefully when the system battery runs out of puff, and even then they are designed to maintain the contents of memory for up to 24hr while you get to a mains outlet or replace the system battery with a charged battery.
The 160 has an FSTN (passive) display. Set contrast to full (hard right), and then gradually move brightness to the right. At the first sign of a desktop, stop. (One of the weird screen effects may indicate that the top-of-display menu bar is present, which is a good sign.) Gradually decrease contrast to find the black screen point, and then increase contrast again to restablish the desktop image. Fiddle incrementally with contrast and brightness to optimize the image.
The foregoing assumes that the PB has booted to the desktop. With an unknown hard drive this may not be certain, so a Disk Tools floppy is a better tool for this work. The DT floppy can also check your hard drive for condition, reinitialize it for installation of a new System, and so on.
The base RAM of a 160 is 4MB. If that is all you have (ie, no RAM expansion card plugged into the processor daughter-card) you don't have much room to move, but System 7.1, or an installation of 7.1.3 retrofitted with elements from System 7.5, can work very well in 4MB. The weirdo screen effects that you see may very well be abolished by breaking, cleaning and remaking the daughter- to mother-board contacts, the inverter to display connection, the RAM expansion card to daughter-card connection (if you have an expansion card), and so on. B&W rather than 4 or 16 greys may be set at the moment, and that will exacerbate the weirds. Pay special attention to the seating of the ribbon cable from daughter card to the upper case half. Its 'memory' of past folding can pull the connector out if you are not on your guard.
The Disk Tools floppy should also boot the PB. Either insert it before startup (after resetting the PMU, as above), or immediately after the POST chime. The floppy drive is polled before the hard drive as a potential boot volume. If you can get to the desktop this way and 'see' the hard drive also mounted on the desktop you are well on the way to success.
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