The defendant has likely not paid anything back ( I don't know how to look up if she obliged with the court's judgement) , the  search shows owes mortgage of 125k, IRS tax lien of 12k, county sewer waste/state liens and so on( roughly 10k).My question is if I purchase the property at auction , am I responsible for ALL the liens listed?

The auction is online only.

They should know this is coming as it usually takes 1-2 years for the banks to auction the house.  

Since Texas is a tax deed state, you gain ownership at auction, but the previous owner has 6 months to 2 years to redeem it by paying your bid plus 25% interest (in year one).

Though in CA, 5 years delinquency on property taxes, the city can file a lien and auction off the house.If I pay those taxes, what's the process of if I wanted to take possession of the property after the 5 years delinquent taxes?

In my experience in MO, land bank properties are very low priced (these are generally properties/parcels that weren't sold at the tax auction), but they often have significant tax liens on them that must be cleared in addition to the "sale price" AND they require a significant amount of rehab in order for the properties to be inhabitable. 

So, I’m curious how you are managing to find your deals, whether you are buying at auctions or via marketing direct to sellers.

So are you spending $100s of dollars per property prior to the tax deed auction for title research? 

No bidders at auction. 

Quote from @John Clark: Did you check for houses on the auction list,  or you can check with banks and look for REOs and convert that into a single family home and house hack or turn it into a Airbnb.