Limited atonement schematically presented:
Picture source: covenantoflove
This article has been replaced by a great explanation by Charles G. Finney. You can read it here.
Read also the “Governmental Theory of The Atonement“. This seems to be the view on the Atonement which William Booth held strongly.
Read also: ‘Romans 9‘
You can also buy the booklet “The Atonement of Jesus Christ” by William Booth (founder of the Salvation Army) to have a good overview of his view of the atonement.