
The Salt in the Wounds - S4-E17
Continuity mistake: When Sweets is in the chiropractor's office, the doctor is pulling at Sweets' arms across his chest in one shot but in the next his arms are by his side. (00:35:10)

The Salt in the Wounds - S4-E17
Continuity mistake: The way Booth's hands are clasped when talking to Clint at the end in the diner changes between shots. (00:39:00)

The Doctor in the Den - S4-E18
Continuity mistake: When Angela first walks onto the platform at the start and starts flirting with Clark, the way she holds her folder changes between shots. (00:03:30)

The Doctor in the Den - S4-E18
Continuity mistake: When Booth is questioning Brandon for the first time, Booth and Brandon's positions in the interview room are different to the live feed behind the glass. (00:16:40)

The Doctor in the Den - S4-E18
Continuity mistake: When Hodgins approaches Bones, Cam and Angela who are having a coffee, the position of Angela and Bones changes instantly. (00:30:50)

The Doctor in the Den - S4-E18
Continuity mistake: Around the 37-minute mark Bones approaches Cam with an update on the case. When she does, Cams position alters between shots. A hand suddenly appears by her mouth/chin. (00:37:30)

The Science in the Physicist - S4-E19
Continuity mistake: When Bones and Booth are looking at the meteorite for the 1st time, they are approached by Chris who folds his arms to talk to the pair. When the shot changes, his hands are now in his pockets. (00:07:50)
The Science in the Physicist - S4-E19
Visible crew/equipment: When Angela gets hits in the face with a frozen turkey, Cam rushes over to her and bends over to see if she is OK. When she does, her mic pack is visible on the waistband of her skirt. (00:19:00)

The Science in the Physicist - S4-E19
Continuity mistake: When Bones and Booth get trapped in the resonance chamber, the position of Booth's hands over his ears changes back and forth between shots. (00:34:30)

The Science in the Physicist - S4-E19
Visible crew/equipment: When Booth stands up to arrest Scotty and orange tape marker is visible on the floor. (00:37:30)
The Science in the Physicist - S4-E19
Continuity mistake: Bones finds a spot of damage on the chair (front side, about 4" down from the top edge). Yet later, the chair is without any damage.

The Cinderella in the Cardboard - S4-E20
Continuity mistake: When Daisy convinces Sweets that she's not cheating on him, her arms move back and forth from his shoulders to around his neck. (00:37:05)

Continuity mistake: When interviewing Lexi she puts her arms up and plays with her hair in one shot but then in the next her arms are down. (00:28:30)

The Double Death of the Dearly Departed - S4-E22
Continuity mistake: When Bones and Cam drive off with the corpse in the car, the bumper reflects a studio parking lot. Not the suburban street they were just on. (00:12:10)

Continuity mistake: When in the diner after going to the Japanese tea room, Booth has his fingers rubbing his temple. Shot changes and his hand is lowered. (00:11:15)

Continuity mistake: When Booth and Bones are shown the Pimp's scar, the towel the guy is holding switches hands instantly. (00:16:30)

The Beaver in the Otter - S4-E24
Visible crew/equipment: When Aristoo first walks up on to the platform a black X is visible on the floor. (00:03:30)

The Beaver in the Otter - S4-E24
Continuity mistake: Bone holds up the evidence bag containing the bullet. In the next shot, her arm and the bag is lowered. (00:13:10)

The Beaver in the Otter - S4-E24
Continuity mistake: When Bones and Booth are talking to Molly about her sleeping with Beaver, her facial expression goes from angry/upset to laughing during an instant cut. (00:14:10)

The Beaver in the Otter - S4-E24
Continuity mistake: When confronting Molly about sleeping with the victim, Booth has both hands down by his side. When the camera cuts his one hand is now scratching his cheek. (00:14:15)
Answer: Answering my own question here but, having contacted various people involved in the production of Bones including Kathy Reichs, Hart Hanson, Eric Milligan, and Deirdre Lovegood who portrayed Taffet onscreen I finally have the answer. No-one know how she did it due to her constantly working alone. And she never revealed this information before her death.
Ssiscool ★