Yes, you would have equal rights with your siblings. Here is TX law of intestacy, which is what it is called if a person passes without a will:
The distribution of the property of an unmarried intestate (I am assuming your mom is unmarried) is governed by Probate Code § 38(a). Real and personal property are treated the same.
If your mom is survived by one of more descendants (e.g., children or grandchildren), then all of the intestate's property passes to the descendants.
If the heirs are all of the same degree of relationship to the intestate, then they take per capita, i.e., each heir takes the same amount. For example, if all takers are children, each receives an equal share.
If the heirs are of different degrees of relationship to decedent, e.g., children and grandchildren, the younger generation takers share what the older generation taker would have received had that person survived. For example, assume that Grandfather had three children; two of whom predeceased Grandfather. One-third passes to the surviving child, with one-third passing to the children of each deceased child (grandchildren). If each deceased child had a different number of grandchildren, the shares of the grandchildren will be different. For example, if one deceased child had two children, each gets one-sixth; if the other deceased child had three children, each would receive one-ninth.
Hope this helps to clarify!
Hang in there!
I hope you have found this additional information informative and/or helpful. If so, please click the GREEN "ACCEPT" button NOW, on 1 or more than 1 answers, in order that it be recognized as such and I receive credit for same from the company for the time and effort. Your promptness is greatly appreciated. In addition, Positive "FEEDBACK" and BONUSES are also appreciated, particularly when the customer included multiple questions in their single post and multiple answers and interaction were provided by the expert. If you need additional related follow up on this particular question afterwards, don't hesitate. And if you would like my assistance in the future, just put my name, STEPHANIE JOY, in your title or first sentence of post. Thanks!
Please note: A times there can be a delay of an hour or more in between my answers because I may be helping other customers or taking a break. In addition, if it is late at night, EST, and we are between postings, I may go get some shut eye, but I'll be back, so never fear. On Saturday, there will be greater gaps in time due to scheduling, for any needed follow up, but rest assured, by day's end it will be done.
Legal Disclaimer. The information given by me here is not legal advice. You should not and may not rely on anything on this website as legal advice and you agree that the nominal price you may or may no pay for information here clearly does not pay for any legal advice. I am neither establishing nor accepting an attorney-client relationship with you. The only method of gaining an attorney/client relationship with me is via a retainer and fee agreement at my standard billable hour rate of $275.00, which is not offered via this site. I am providing only research, resources, opinion and information for you to be informed and educated about your particular needs and my answer is limited to the facts presented with the understanding that you will do your proper due diligence and appropriate follow up. I do not provide general or specific legal advice on this site. I also do not claim to be licensed to practice in the state where this information is being provided or state whose law would apply, if any. I strive to provide quality information, but I make no claims, promises or guarantees about the accuracy, completeness, or adequacy of the information contained in or linked herein and its associated sites. As law is always changing, you are recommended to speak with the appropriate legal counsel for accurate and complete information. Thank you and have a great day.