I've been dealing with this too.
I delete the "Shared Computer" icon by turning my wifi connection off/on, but it shows up again in a few hours.
I think this bug is related to Apple's iCloud coming to check on what we're doing with our computer.
I haven't upgraded to Yosemite yet, still on Mavericks, but I have installed some recent system/security updates and the problem began afterwards. What also happened at the same time is the "iCloud" icon showed up in my Finder, and my "Contacts" app deleted all my contacts and replaced them with my wife's iPhone contacts list. Years ago I let her use my "Apple ID" to set up her phone because she never used the internet much. Since then Apple made me use my ID for a few songs I bought off iTunes, and now they've set up an "iCloud" account for me that I never wanted.
I have my own web server and I don't use Apple's iCloud, but Apple is pinging my computer several times a day since and it's when those pings come in that I get a computer named "orangejello" showing up in my "Shared" folder. I also had a few others show up, but that one is consistently showing up. The "Connect" button never works, and I've never caught it exactly when it showed up, so I cannot confirm this is the cause yet, but I'm thinking it's connected to it.
I get these messages in my Console app under the "Diagnostic and Usage" messages:
This is always the 1st in a series:
11/4/14 12:21:40.348 PM UserEventAgent[161]: com.apple.message.domain: com.apple.usage.activetime
com.apple.message.value: 14161
com.apple.message.value2: 5953
com.apple.message.value4: 0
com.apple.message.value5: 1
com.apple.message.summarize: YES
Sender_Mach_UUID: 55428B1C-9198-32BF-80EA-4731081F402E
This is always the 2st in a series:
11/4/14 12:21:40.348 PM UserEventAgent[161]: com.apple.message.domain: com.apple.usage.app_activetime
com.apple.message.signature: com.apple.ShareKitHelper
com.apple.message.signature2: com.apple.ShareKitHelper ||| 1.0 (185.2)
com.apple.message.value: 14161
com.apple.message.value2: 0
com.apple.message.value3: 0
com.apple.message.value4: 0
com.apple.message.value5: 0
com.apple.message.value6: 0
com.apple.message.value7: 0
com.apple.message.result: NO
com.apple.message.summarize: YES
Sender_Mach_UUID: 55428B1C-9198-32BF-80EA-4731081F402E
This is the last:
11/4/14 12:21:40.356 PM UserEventAgent[161]: com.apple.message.domain: com.apple.usage.app_activetime
com.apple.message.signature: com.apple.WebKit.Networking
com.apple.message.signature2: com.apple.WebKit.Networking ||| 9600 (9600.1.17)
com.apple.message.value: 14161
com.apple.message.value2: 0
com.apple.message.value3: 0
com.apple.message.value4: 0
com.apple.message.value5: 0
com.apple.message.value6: 0
com.apple.message.value7: 0
com.apple.message.result: NO
com.apple.message.summarize: YES
Sender_Mach_UUID: 55428B1C-9198-32BF-80EA-4731081F402E
In between those are messages that are specific to apps running on my Mac:
11/4/14 12:21:40.351 PM UserEventAgent[161]: com.apple.message.domain: com.apple.usage.app_activetime
com.apple.message.signature: Fetch
com.apple.message.signature2: com.fetchsoftworks.Fetch ||| 5.7.4 [5H1367, Web Store] (5.7.4)
com.apple.message.value: 14161
com.apple.message.value2: 0
com.apple.message.value3: 0
com.apple.message.value4: 0
com.apple.message.value5: 0
com.apple.message.value6: 0
com.apple.message.value7: 0
com.apple.message.result: YES
com.apple.message.summarize: YES
Sender_Mach_UUID: 55428B1C-9198-32BF-80EA-4731081F402E
My hunch is that these oddball "Shared Computers" show up in my Finder when these messages are made, and that these messages are related to Apple doing some snooping on what apps I'm using on my Mac.