Baby, she was born this way! Lady Gaga was determined to be involved in every step of the surrogacy process as she embarked on her journey to motherhood no matter what it took, Page Six has learned. “This has been a very long and emotional process for Gaga,” a source exclusively told Page Six. “There have been a lot of ups and downs along the way, and it certainly didn’t happen overnight.” “There were so many appointments, meetings and logistics involved, and she was incredibly hands-on throughout the entire surrogacy process,” the insider said. “She was very involved with her surrogate and wanted to be part of every step of the…