PLEASE HELP- Tax Assessment

The amount of property tax on a parcel is determined by three factors. The first is the market value of the property. The county assessor's job is to determine the market value of a property. That value is not the same as we would use in Fair Market valuation as an investor. The assessor has state mandated valuation tables to use to determine values.
The second factor is property type. States all have their own formulas but as an example, in my state undeveloped land is assessed at 7%, residential property at 19% and commercial propety at 30%. A farm with a value of $100,000 would have an assessed value of $7,000. A residence with a value of $100,000 would have an assessed value of $19,000 and a commercial property worth $100,000 an assessed value of $30,000.
The third is the tax rate. The rate can include county tax, school tax, public service tax, hospital tax, etc. All properties pay the same rate per hundred dollars of valuation. For example if the tax rate is seven dollars per hundred dollars of valuation.
The actual tax amount on the unimproved property would be $7,000 times .07 or $490.00.
The tax on the residence would be $19,000 times .07 or $1,330.00.
The tax on the commercial property would be $30,000 times .07 or $2,100.00.

If a property is homesteaded and the owner fails to pay taxes, can you still pay the taxes and if you end up getting it... Homestead it again or is there a clause I am missing in Texas??

The rules do vary for homesteads. A homestead exemption doesn't stop the sale of the property but the owner does ususally have a longer redemption period than a non-homesteaded property. All states have their own rules so be sure you understand the rules of the state in where you purchase.