Without her name and that of her spouse, it is impossible for us to help you find information. The state or country where she was born would also be helpful.
Dear Margart Pettibone,
Thank you for posting your request on History Hub!
Perhaps you can provide more information about your grandmother for us to better direct you, but in the meantime can begin your research by reviewing this blog post about immigration:
For records relating to homesteads, we searched the National Archives Catalog and located Homestead Final Certificates for 1863 through 1908 in the Records of the Bureau of Land Management (Record Group 49) that are name searchable. Some records have been digitized and are available using the Catalog. For more information about the non-digitized records, please email the National Archives at Washington, DC - Textual Reference (RDT1) at firstname.lastname@example.org.
We hope this information is helpful. Best of luck with your family research!