If I light on one Friday night, because I will be the only one home, does that mean that I have to light forever?
Thank you for your question.
All men and women have an obligation to light Shabbos candles, however the privilege of being the one to actually light them for the whole house was given to women. Since you were the only one home for a particular Shabbos, it is good that you lit the candles. regarding the coming Shabbosos you wil have the same obligation that you had until now, and it is just fine for you to be included with your mother/ wife’s lighting.
Shulchan Aruch O:CH 263-2