I think what you are asking is whether your ex-girlfriend could make any claims against you personally or be awarded any interest in your assets by reason of California community property law or any other laws of that state.
And because you and she were never intermarried the answer is an unqualified NO.
For one the California family courts have no jurisdiction over non-marital relationships such as ordering a division of joint acquired property or awarding support or alimony.
Secondly, in California, as is true in most if not all the states, individuals in a non-marital relationship do not acquire vested property rights solely by virtue of their being so-called “domestic partners”. In other words there is no such thing as marital or community property in a non-marital relationship.
Nor does the law recognize any such animal as “palimony”. And this is particularly so in the state of California where the media coined the word “palimony” as an outcrop from the much publicized case of Michelle Triola Marvin v. Lee (The actor) Marvin, 18 Cal.3d 660 (1976)
(Michelle only assumed the surname of Marvin, she and the actor were never intermarried.
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Lastly, can you explain why you refer to the residence as your “mother’s home” when in the same breath you tell us that she “quick (sic) claimed” it to you?