I've run AdwCleaner and I've pasted the contents of the [R0] report below. As I don't see any program names that I know I want to keep, I went ahead and let AdwCleaner remove what it detected. Hopefully I'm not getting ahead of you by doing so. Following is the report contents:
# AdwCleaner v3.003 - Report created 15/09/2013 at 11:46:42
# Updated 07/09/2013 by Xplode
# Operating System : Windows 7 Home Premium Service Pack 1 (64 bits)
# Username : Bill - ANSLEY-FAMILY
# Running from : F:\AdwCleaner.exe
# Option : Scan
***** [ Services ] *****
***** [ Files / Folders ] *****
File Found : C:\END
File Found : C:\Users\Nancy\AppData\Roaming\Mozilla\Firefox\Profiles\jt4ov2ua.default\searchplugins\Conduit.xml
Folder Found C:\Program Files (x86)\Conduit
Folder Found C:\Program Files (x86)\SearchProtect
Folder Found C:\Users\Bill\AppData\Roaming\SearchProtect
Folder Found C:\Users\kids\AppData\Roaming\SearchProtect
Folder Found C:\Users\Nancy\AppData\Local\Conduit
Folder Found C:\Users\Nancy\AppData\LocalLow\Conduit
Folder Found C:\Users\Nancy\AppData\Roaming\SearchProtect
***** [ Shortcuts ] *****
***** [ Registry ] *****
Key Found : HKCU\Software\AppDataLow\Software\SmartBar
Key Found : HKCU\Software\Microsoft\Windows\CurrentVersion\Ext\Settings\{B78F92C8-DEB3-11E2-9A0A-FB64281D6ADE}
Key Found : HKCU\Software\Microsoft\Windows\CurrentVersion\Ext\Stats\{B78F92C8-DEB3-11E2-9A0A-FB64281D6ADE}
Key Found : HKCU\Software\SearchProtect
Key Found : [x64] HKCU\Software\SearchProtect
Key Found : HKLM\SOFTWARE\Classes\CLSID\{3C471948-F874-49F5-B338-4F214A2EE0B1}
Key Found : HKLM\SOFTWARE\Classes\CLSID\{B78F92C8-DEB3-11E2-9A0A-FB64281D6ADE}
Key Found : HKLM\SOFTWARE\Classes\speedupmypc
Key Found : HKLM\SOFTWARE\Classes\Toolbar.CT3309350
Key Found : HKLM\Software\Conduit
Key Found : HKLM\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\Browser Helper Objects\{7736C7FA-512D-11E2-B871-DEC36088709B}
Key Found : HKLM\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\Browser Helper Objects\{B78F92C8-DEB3-11E2-9A0A-FB64281D6ADE}
Key Found : HKLM\Software\SearchProtect
Key Found : HKLM\Software\Uniblue\DriverScanner
***** [ Browsers ] *****
-\\ Internet Explorer v10.0.9200.16660
-\\ Mozilla Firefox v23.0.1 (en-US)
[ File : C:\Users\Nancy\AppData\Roaming\Mozilla\Firefox\Profiles\jt4ov2ua.default\prefs.js ]
Line Found : user_pref("CT3309350_Firefox.csv", "[{\"from\":\"Abs Layer\",\"action\":\"loading toolbar\",\"time\":1376365828966,\"isWithState\":\"\",\"timeFromStart\":0,\"timeFromPrev\":0}]");
Line Found : user_pref("Smartbar.ConduitHomepagesList", "hxxp://search.conduit.com/?ctid=CT3309350&octid=CT3309350&SearchSource=61&CUI=UN35974218992310520&UM=2&UP=SP29BCB134-A253-4A6D-B014-7C38C3ABA02F");
Line Found : user_pref("Smartbar.ConduitSearchEngineList", "BrowserPlus2 Customized Web Search");
Line Found : user_pref("Smartbar.ConduitSearchUrlList", "hxxp://search.conduit.com/ResultsExt.aspx?ctid=CT3309350&SearchSource=2&CUI=UN35974218992310520&UM=2&q=");
Line Found : user_pref("Smartbar.SearchFromAddressBarSavedUrl", "");
Line Found : user_pref("Smartbar.keywordURLSelectedCTID", "CT3309350");
Line Found : user_pref("browser.search.defaultthis.engineName", "BrowserPlus2 Customized Web Search");
Line Found : user_pref("browser.search.defaulturl", "hxxp://search.conduit.com/ResultsExt.aspx?ctid=CT3309350&CUI=UN35974218992310520&UM=2&SearchSource=3&q={searchTerms}");
Line Found : user_pref("keyword.URL", "hxxp://search.conduit.com/ResultsExt.aspx?ctid=CT3309350&SearchSource=2&CUI=UN35974218992310520&UM=2&q=");
Line Found : user_pref("smartbar.machineId", "WUPDS+IA2XCR81W9SUMSEDB0W5RM8RIYPCTOZ3G04CXYNKS1IAK1/2MI03USTFNSAKIBZZMEYHTKDX3CF1QDDW");
[ File : C:\Users\Bill\AppData\Roaming\Mozilla\Firefox\Profiles\ckwp9n65.default\prefs.js ]
[ File : C:\Users\kids\AppData\Roaming\Mozilla\Firefox\Profiles\0z31vdux.default\prefs.js ]
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AdwCleaner[R0].txt - [3700 octets] - [15/09/2013 11:46:42]
########## EOF - C:\AdwCleaner\AdwCleaner[R0].txt - [3760 octets] ##########