Inclusion Criteria:

          -  Histologically proven non-M3 AML:

               -  Refractory/relapsed AML OR

               -  Initial diagnosis of AML in patient >= 60 years old

          -  Total bilirubin =< 1.5 times upper limit of normal (ULN) institutional limits (unless
             Gilbert's disease)

          -  Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase
             [SGOT])/alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase [SGPT])
             =< 2.5 X institutional ULN

          -  Cardiac left ventricular ejection fraction (LVEF) >= 35%

          -  Serum creatinine =< 1.5 mg/dl

          -  Any organ dysfunction thought to be secondary to disease will be considered separately
             and the patient will be included at the investigators discretion

          -  Patients must give informed consent

          -  Eastern Cooperative Oncology Group (ECOG) performance status =< 3

          -  Must have a potential haploidentical donor (parent, sibling, child)

          -  A patient is eligible for second enrollment (allo-cellular therapy) if all of the
             following inclusion criteria are met:

          -  Patient must have documented CR or CRp after 1 or 2 cycles of fludarabine + cytarabine

          -  Patient must not be a candidate for an allo-hematopoietic stem cell transplant (HSCT)

          -  Patient must have a partially (>= 3/6 class I antigen) human leukocyte antigen
             (HLA)-matched (by serology or low resolution deoxyribonucleic acid [DNA] testing)
             relative able to serve as a donor

          -  Patients must not have active uncontrolled infections, other medical or
             psychological/social conditions that might increase the likelihood of patient adverse
             effects or poor outcomes

          -  Total bilirubin < 1.5 times upper limit of normal (ULN) institutional limits (unless
             Gilbert's disease)

          -  AST(SGOT)/ALT(SGPT) =< 2.5 X institutional ULN

          -  Serum creatinine < 2.0 mg/dl

          -  ECOG performance status =< 2

          -  DONOR: donor must be related to patient and be partially (>= 3/6 antigen) HLA-matched

          -  DONOR: donor must meet all New Brunswick Affiliated Hospitals (NBAH) requirements for
             hematopoietic stem cell donation, including:

          -  DONOR: age >= 18 years old

          -  DONOR: white blood cells (WBC) 4.0-10.0 x 10^3/mm^3

          -  DONOR: platelet count 150,000 to 440,000/mm^3

          -  DONOR: hemoglobin/hematocrit; 12.5-18 g/dl, 38 to 54%

          -  DONOR: not pregnant or lactating

          -  DONOR: not human immunodeficiency virus (HIV)-1, HIV-2, hepatitis C virus (HCV),
             hepatitis B core or human T-lymphotropic virus (HTLV)-I/II seropositive; hepatitis B
             surface antigen (HB S ag) (-); meet other infectious disease screening criteria
             utilized by NBAH Blood Center

          -  DONOR: no uncontrolled infections, other medical or psychological/social conditions,
             or medications that might increase the likelihood of patient or donor adverse effects
             or poor outcomes

          -  DONOR: meet other blood bank criteria for blood product donation (as determined by
             NBAH Blood Center screening history and laboratory studies)

        Exclusion Criteria:

          -  History of current or prior medical problems that the investigator feels will prevent
             administration of therapy or assessment of response due to excess toxicity

          -  Patients with known active central nervous system (CNS) leukemia will be excluded from
             this clinical study

          -  Known HIV-positive patients are excluded from the study

          -  Patients may not be pregnant or breast feeding