There is a Lulu Vanderveer listed on Find-a-Grave under the memorial for VanBrunt at the Old First Methodist Church Cemetery in Long Branch; no date of birth or death. Maybe the church would be able to help you with information. There is a Mary Little b. 1889 and Lorenza Little (Lulu?) b 1892 in the 1900 Census. Is this the family you're looking for? There is a WW1 Draft Registration Card for Lorenza S. Little, 43 Institute St., Freehold b. 1892. He was a laborer supporting a 5-yr old child, married, negro. His father is Theodore Little, mother Elizabeth Smith. The date of registration is June 5, 1917.
You might be able to find information through the Monmouth County Archives, which are kept at the county library in Manalapan. There is also the Historical Society in Freehold. There is a lot of history about both the Vanderveers and VanBrunts, and the names Hawkins and Little also come up.
Under the County of Monmouth website under County Clerk, County Archives, Searchable Data Bases there is listed marriages 1790-1890 that you can search. You'll get a wider search if you just put in one name, not both. If you find any of the names you're looking for you can request information.
Wishing you good luck in your search.