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This version of the Cape Kennedy Medals Skylab 3 patch has a distinctive darker blue border. It has the typical taped tail of a Cape Kennedy Medals patch but has a hard plastic back. A cloth back version is also to be found. 

Virtually identical to the A-B Emblem and Swissartex 3" versions.

Skylab 4 (also SL-4 and SLM-3) was the third Skylab mission and placed the third and final crew aboard the first American space station.
The mission started November 16, 1973 with the launch of three astronauts on a Saturn IB rocket from the Kennedy Space Center, Florida and lasted 84 days, one hour and 16 minutes. A total of 6,051 astronaut-utilization hours were tallied by Skylab 4 astronauts performing scientific experiments in the areas of medical activities, solar observations, Earth resources, observation of the Comet Kohoutek and other experiments.

Is is possible that the Wolf-Brown patches are repackacked A-B Emblem patches.

Skylab 4 (also SL-4 and SLM-3) was the third Skylab mission and placed the third and final crew aboard the first American space station.
The mission started November 16, 1973 with the launch of three astronauts on a Saturn IB rocket from the Kennedy Space Center, Florida and lasted 84 days, one hour and 16 minutes. A total of 6,051 astronaut-utilization hours were tallied by Skylab 4 astronauts performing scientific experiments in the areas of medical activities, solar observations, Earth resources, observation of the Comet Kohoutek and other experiments.

The Lion Brothers Skylab 3 patch is distinct and readily identifiable by the presence of an embroidered Comet Kahoutec. No other manufacturer features this. The patch also has the hallmark hidden initials "PCG" upside down in the tree foliage. 

Skylab 4 (also SL-4 and SLM-3) was the third Skylab mission and placed the third and final crew aboard the first American space station.
The mission started November 16, 1973 with the launch of three astronauts on a Saturn IB rocket from the Kennedy Space Center, Florida and lasted 84 days, one hour and 16 minutes. A total of 6,051 astronaut-utilization hours were tallied by Skylab 4 astronauts performing scientific experiments in the areas of medical activities, solar observations, Earth resources, observation of the Comet Kohoutek and other experiments.

The A-B Emblem Skylab 3 patch can be found with both cloth and plastic backing.

The Hilborn Hamburger version is identified by the inner black border of the rainbow. 4"

These are likely unauthorized reproductions based on original, concept artwork. 

Stitching here indicates this is a modern reproduction

NEW ORLEANS next participated in recovery operations for the Skylab II and Skylab III missions. She was also present for the recovery of astronauts Stafford, Slayton, and Brand during the joint American-Soviet Apollo-Soyuz mission of July 05, 1975.