Organically synthesized porous carbon (OSPC-1) is a newly discovered carbon allotrope. OSPC-1 is synthesized via the Eglinton homocoupling of ethynyl methane. It has a large surface area (766 m2 g–1) and a high lithium uptake of 748 mAh g–1, demonstrating its great potential as an anode material for lithium-ion batteries (LIBs). Here, we explore the extension of the family of OSPC materials, giving three new potential carbon allotropes: OSPC-0, OSPC-2, and OSPC-3. These materials differ in node-to-node distance by an increase or a decrease in the number of connecting ethynyl units in the struts. We propose synthetic strategies, construct structural models, discuss the structural properties, and assess the potential application of the proposed OSPC family members as LIB anode materials. We suggest the optimal materials for capacity (OSPC-0) or for charging time (OSPC-3). Overall, we suggest that OSPC-3 is the optimal material from the proposed OSPC family members for an LIB anode. This could lead to LIBs that have much greater charging and discharging rates that could lead to reduced charging times and greater power output.