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Since you have an S Corporation, shares may only be issued in one class of "Common" and typically to no more than 75 separate shareholders.
The following is the usual approach to recording the stock transactions on the corporate stock ledger or register:
1. "Issue From" would be the "initial offering" FROM the S Corporation and typically dated as to the date of issuance. [That is contrasted, for example, with stock offered from repurchased Treasury shares that may be sold at a later date once the S Corporation is fully in business.)
2. Since there is only one class of shares, normally we record the class as COMMON (no A, B, C that would designate separate classes of shares). Therefore, you would not need to name the Common shares a class ("A") as no other classes of shares are permitted.
3. Par Value is typically the de minimus (protected minimum value of the shares and for which they can be sold and valued). Typically you would record the par value as consideration of $1.00 per share at the initial offering (unless you are selling them for a greater amount and will be recording that amount upon issuance). Generally while the shares would be sold for the initial offering price of $1.00, investments made through the purchase of shares would be determined by number of shares purchased by each investor at $1.00 per share.
I hope the above information is responsive and helpful.
You may also find it helpful to contact your local SCORE Chapter, Counselors to America's Small Business in California at:
The experienced business executives who volunteer at SCORE (there are over 10,000 nationally) offer face to face or online guidance for local businesses. They may be able to sit down with you to review your stock ledger/register as well.