I picked up a wireless HP and out of the box it was trouble. Back to the moderators forum and a nod to another make/model and it's been working for years.
Let's clear up something fast here.
-> With a WiFi or Wireless printer you must NOT share that printer on a PC. That sharing is automagic as each computer can connect and print to it without some share on one PC.
If I wanted to mess up a good stew, I'd connect to that wireless printer, share that and then have the other PC's try to print via my share.
That's a fine well we dug here. How about a rope?