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As I stated, I am searching for identity of Ephraim/Joel Liming (maybe Leming) in the Allentown, NJ area. I have two death dates 1807 (a will was proved) and after 1826 (a real estate transaction between a "Senior and his wife Sarah" and a "Junior" occured). I do not know if this person had any other family/male siblings that your Henry Meek Liming may be descended from. I do know that the children of this marriage with Phoebe O. Foster were: Sarah Foster Liming, Ephraim J. Liming, Matilda Liming and Mary Ann Liming who married William Bunting. Next I have a will for an Ephraim J. Liming filed 20 April 1861 at the Surrogate's Office of Monmouth County. I am not sure this is the same Ephraim in the real estate transaction and/or if he is also the same Ephraim, brother of Sarah, Matilda & Mary Ann, but his will lists the following sons that perhaps your Henry Meek Liming could be a descendant of: William F., Theodore, George W. He also lists daughters Mary R. Liming, Sarah Jane (Liming) Cox, Phebe Ann Liming, Matilda M. Liming. George and Matilda were apparently young minors as their share was put into a trust until and if they reached 21. Theodore must have been older for he was named as one of the two executors and guardians of the other children.
I think the Ephraim Senior & Junior are perhaps not of this branch since they mention Senior's wife as being a "Sarah" and I know my wife's name was Phobe. My Phoebe died 1871 and her daughter Mary Ann was born 1824. I do believe the E.J. of the 1861 will possibly a relation since three of his four daughters have the same name as my E.J.'s only three sisters.
Although I don't know exactly what time frame and geographical area you are actually searching, I do hope this is of some help to you.