In Latter-day Saint terminology, the “Holy Ghost” and “Holy Spirit” are one and the same person (though the former is the more commonly used term, in part, due to the influence of the KJV on uniquely LDS Scriptures). Notwithstanding, some LDS authors have used the term “holy spirit” (note the lack of capitalisation) to refer to the Father’s own spiritual influence. John A. Widtsoe, while discussing how God the Father communicates with us, wrote the following which is rather helpful on this matter
By the Holy Spirit. God is a personal being of body—a body limited in extent. He cannot, therefore, at a given moment be personally everywhere. Time and space surround him as they surround us. Nevertheless, it is known that God, by his power, will and word, is everywhere present. The Lord must, therefore, be in possession of other agencies whereby his will may be transmitted at his pleasure to the uttermost confines of space. The chief agent employed by God to communicate his will to the universe is the holy spirit, which must not be confused with the Holy Ghost, the personage who is the third member of the Godhead. The holy spirit permeates all the things of the universe, material and spiritual. By the holy spirit the will of God is radio-transmitted, broadcasted as it were. It forms what may be called the great system of communication among the intelligent beings of the universe. The holy spirit vibrates with intelligence; it takes up the word and will of God as given by him or by his personal agents, and transmits the message to the remotest parts of space. By the intelligent operation and infinite extent of the holy spirit, the whole universe is held together and made as one unit. By its means there is no remoteness into which intelligent beings may escape the dominating will of God. By the holy spirit, the Lord is always with us, and "is nearer than breathing, and nearer than hands and feet." The intelligent earthly manifestations of the holy spirit are commonly spoken of as the natural forces. It is conceivable that the thunders and the lightnings, the movements of the heavenly bodies, the ebb and flow of the oceans, and all the phenomena known to man, are only manifestations of the will of the Lord as transmitted and spread by the measureless, inexhaustible, infinite, all-conducting holy spirit.
By the holy spirit, which fills every person, man may obtain information from the Lord. By its means come the messages which transcend the ordinary methods of acquiring knowledge. By it man may readily communicate with God, or God with him. When a person utters his prayer in faith, it is impressed upon the holy spirit, and transmitted, so that God may read the man's desire.
This doctrine of a rational theology has been duplicated in a modest way by the development of wireless telegraphy and by radio. According to scientific views, by electrical waves messages are spread throughout the universe to be taken up by any person who has the proper receiving apparatus.
The Eternal Record. So thoroughly permeated with the holy spirit is the immensity of space that every act and word and thought are recorded and transmitted everywhere, so that all who know how to read may read. Thus we make an imperishable record of our lives. To those whose lives are ordered well this is a blessed conception; but to those of wicked lives, it is most terrible. He who has the receiving apparatus, in whose hands the key is held, may read from the record of the holy spirit, an imperishable history of all that has occurred during the ages that have passed in the world's history. This solemn thought, that in the bosom of the holy spirit is recorded the whole history of the universe—our most secret thought and our faintest hope—helps man to walk steadily in the midst of the contending appeals of life. We cannot hide from the Master. (John Andreas Widtsoe, Rational Theology as Taught by The Church of Jesus Christ of Latter-day Saints [Salt Lake City: Deseret News, 1915; repr., General Books, 2009], 38-39)