HOA Homefront: Recalling board members, Part 1

Q: In our recent HOA election, one new member was elected but resigned six weeks later. There is an all-out war between the four remaining directors. All business has stopped due to the inability of the four to agree on anything that needs a vote. Homeowners want the board to appoint the next in line from the last election, two board members will not agree to this.
We have cumulative voting and I understand recalling anyone less than the entire board is very difficult, no? We are being told that