Short term marriages (which yours is) require that everyone is restored to the position they were in before the marriage. So, home 3 purchased with inheritance will be determined by the Warranty Deed. If he is on the Warranty Deed, then the court may consider that you have transmuted or comingled the asset. If he isn't on the warranty deed though, and only on the deed of trust, then you have a separate asset. As for the timeshare and business, I don't have enough information to determine but it will be very fact specific. If he is leaving and not seeking regular visits then that will be dealt with in the parenting plan and child support worksheet.
Without knowing the specific, private facts and circumstances of your case, there is no absolute category for any of this property.
General rule, all property acquired during marriage is marital property, and you work backwards from there.
Sounds like this third house was the one that the children and family lived, this makes it the marital home
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